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Finding the Fourth Proportional to 5,700,465.12, 7,866,649.47 and 3,086,973.71

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Solution

The fourth proportional to 5,700,465.12, 7,866,649.47 and 3,086,973.71 is: 4,260,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700,465.12 : 7,866,649.47 = 3,086,973.71 : x
  2. Step 2: Convert to fraction form
    5,700,465.12/7,866,649.47 = 3,086,973.71/x
  3. Step 3: Cross multiply
    5,700,465.12x = 7,866,649.47 × 3,086,973.71
  4. Step 4: Simplify right side
    5,700,465.12x = 24,284,140,060,342.19
  5. Step 5: Solve for x
    x = 24,284,140,060,342.19/5,700,465.12
  6. Step 6: Final answer
    x = 4,260,027.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.