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Finding the Fourth Proportional to 3,652.49, 5,038.68 and 2,393

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Solution

The fourth proportional to 3,652.49, 5,038.68 and 2,393 is: 3,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.49 : 5,038.68 = 2,393 : x
  2. Step 2: Convert to fraction form
    3,652.49/5,038.68 = 2,393/x
  3. Step 3: Cross multiply
    3,652.49x = 5,038.68 × 2,393
  4. Step 4: Simplify right side
    3,652.49x = 12,057,561.24
  5. Step 5: Solve for x
    x = 12,057,561.24/3,652.49
  6. Step 6: Final answer
    x = 3,301.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.