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Finding the Fourth Proportional to 4,952, 7,428.78 and 2,354.06

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Solution

The fourth proportional to 4,952, 7,428.78 and 2,354.06 is: 3,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952 : 7,428.78 = 2,354.06 : x
  2. Step 2: Convert to fraction form
    4,952/7,428.78 = 2,354.06/x
  3. Step 3: Cross multiply
    4,952x = 7,428.78 × 2,354.06
  4. Step 4: Simplify right side
    4,952x = 17,487,793.85
  5. Step 5: Solve for x
    x = 17,487,793.85/4,952
  6. Step 6: Final answer
    x = 3,531.46

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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.