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Finding the Fourth Proportional to 3,666.72, 5,058.72 and 2,424

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Solution

The fourth proportional to 3,666.72, 5,058.72 and 2,424 is: 3,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.72 : 5,058.72 = 2,424 : x
  2. Step 2: Convert to fraction form
    3,666.72/5,058.72 = 2,424/x
  3. Step 3: Cross multiply
    3,666.72x = 5,058.72 × 2,424
  4. Step 4: Simplify right side
    3,666.72x = 12,262,337.28
  5. Step 5: Solve for x
    x = 12,262,337.28/3,666.72
  6. Step 6: Final answer
    x = 3,344.23

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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.