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Finding the Fourth Proportional to 2,570.24, 3,875.36 and 2,354.24

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Solution

The fourth proportional to 2,570.24, 3,875.36 and 2,354.24 is: 3,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.24 : 3,875.36 = 2,354.24 : x
  2. Step 2: Convert to fraction form
    2,570.24/3,875.36 = 2,354.24/x
  3. Step 3: Cross multiply
    2,570.24x = 3,875.36 × 2,354.24
  4. Step 4: Simplify right side
    2,570.24x = 9,123,527.53
  5. Step 5: Solve for x
    x = 9,123,527.53/2,570.24
  6. Step 6: Final answer
    x = 3,549.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.