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Finding the Fourth Proportional to 5,653.20, 8,470.25 and 3,457.32

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Solution

The fourth proportional to 5,653.20, 8,470.25 and 3,457.32 is: 5,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.20 : 8,470.25 = 3,457.32 : x
  2. Step 2: Convert to fraction form
    5,653.20/8,470.25 = 3,457.32/x
  3. Step 3: Cross multiply
    5,653.20x = 8,470.25 × 3,457.32
  4. Step 4: Simplify right side
    5,653.20x = 29,284,347.44
  5. Step 5: Solve for x
    x = 29,284,347.44/5,653.20
  6. Step 6: Final answer
    x = 5,180.14

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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.