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Finding the Fourth Proportional to 5,386.86, 7,432.09 and 4,390.43

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Solution

The fourth proportional to 5,386.86, 7,432.09 and 4,390.43 is: 6,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.86 : 7,432.09 = 4,390.43 : x
  2. Step 2: Convert to fraction form
    5,386.86/7,432.09 = 4,390.43/x
  3. Step 3: Cross multiply
    5,386.86x = 7,432.09 × 4,390.43
  4. Step 4: Simplify right side
    5,386.86x = 32,630,022.76
  5. Step 5: Solve for x
    x = 32,630,022.76/5,386.86
  6. Step 6: Final answer
    x = 6,057.34

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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.