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Finding the Fourth Proportional to 5,596.48, 7,720.14 and 3,470.68

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Solution

The fourth proportional to 5,596.48, 7,720.14 and 3,470.68 is: 4,787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.48 : 7,720.14 = 3,470.68 : x
  2. Step 2: Convert to fraction form
    5,596.48/7,720.14 = 3,470.68/x
  3. Step 3: Cross multiply
    5,596.48x = 7,720.14 × 3,470.68
  4. Step 4: Simplify right side
    5,596.48x = 26,794,135.50
  5. Step 5: Solve for x
    x = 26,794,135.50/5,596.48
  6. Step 6: Final answer
    x = 4,787.68

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