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Finding the Fourth Proportional to 5,762.13, 7,952.52 and 3,244.74

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Solution

The fourth proportional to 5,762.13, 7,952.52 and 3,244.74 is: 4,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.13 : 7,952.52 = 3,244.74 : x
  2. Step 2: Convert to fraction form
    5,762.13/7,952.52 = 3,244.74/x
  3. Step 3: Cross multiply
    5,762.13x = 7,952.52 × 3,244.74
  4. Step 4: Simplify right side
    5,762.13x = 25,803,859.74
  5. Step 5: Solve for x
    x = 25,803,859.74/5,762.13
  6. Step 6: Final answer
    x = 4,478.18

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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.