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Finding the Fourth Proportional to 4,934.70, 7,402.05 and 4,740.30

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Solution

The fourth proportional to 4,934.70, 7,402.05 and 4,740.30 is: 7,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.70 : 7,402.05 = 4,740.30 : x
  2. Step 2: Convert to fraction form
    4,934.70/7,402.05 = 4,740.30/x
  3. Step 3: Cross multiply
    4,934.70x = 7,402.05 × 4,740.30
  4. Step 4: Simplify right side
    4,934.70x = 35,087,937.62
  5. Step 5: Solve for x
    x = 35,087,937.62/4,934.70
  6. Step 6: Final answer
    x = 7,110.45

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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.