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Finding the Fourth Proportional to 5,752.17, 7,938.41 and 4,240.35

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Solution

The fourth proportional to 5,752.17, 7,938.41 and 4,240.35 is: 5,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.17 : 7,938.41 = 4,240.35 : x
  2. Step 2: Convert to fraction form
    5,752.17/7,938.41 = 4,240.35/x
  3. Step 3: Cross multiply
    5,752.17x = 7,938.41 × 4,240.35
  4. Step 4: Simplify right side
    5,752.17x = 33,661,615.64
  5. Step 5: Solve for x
    x = 33,661,615.64/5,752.17
  6. Step 6: Final answer
    x = 5,851.99

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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.