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Finding the Fourth Proportional to 3,352.48, 5,024.40 and 1,402

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Solution

The fourth proportional to 3,352.48, 5,024.40 and 1,402 is: 2,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.48 : 5,024.40 = 1,402 : x
  2. Step 2: Convert to fraction form
    3,352.48/5,024.40 = 1,402/x
  3. Step 3: Cross multiply
    3,352.48x = 5,024.40 × 1,402
  4. Step 4: Simplify right side
    3,352.48x = 7,044,208.80
  5. Step 5: Solve for x
    x = 7,044,208.80/3,352.48
  6. Step 6: Final answer
    x = 2,101.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.