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Finding the Fourth Proportional to 4,649.52, 6,973.68 and 1,186.56

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Solution

The fourth proportional to 4,649.52, 6,973.68 and 1,186.56 is: 1,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.52 : 6,973.68 = 1,186.56 : x
  2. Step 2: Convert to fraction form
    4,649.52/6,973.68 = 1,186.56/x
  3. Step 3: Cross multiply
    4,649.52x = 6,973.68 × 1,186.56
  4. Step 4: Simplify right side
    4,649.52x = 8,274,689.74
  5. Step 5: Solve for x
    x = 8,274,689.74/4,649.52
  6. Step 6: Final answer
    x = 1,779.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.