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Finding the Fourth Proportional to 4,130.71, 5,700.16 and 2,452.18

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Solution

The fourth proportional to 4,130.71, 5,700.16 and 2,452.18 is: 3,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.71 : 5,700.16 = 2,452.18 : x
  2. Step 2: Convert to fraction form
    4,130.71/5,700.16 = 2,452.18/x
  3. Step 3: Cross multiply
    4,130.71x = 5,700.16 × 2,452.18
  4. Step 4: Simplify right side
    4,130.71x = 13,977,818.35
  5. Step 5: Solve for x
    x = 13,977,818.35/4,130.71
  6. Step 6: Final answer
    x = 3,383.88

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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.