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Finding the Fourth Proportional to 4,677.40, 7,016.10 and 4,130.65

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Solution

The fourth proportional to 4,677.40, 7,016.10 and 4,130.65 is: 6,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.40 : 7,016.10 = 4,130.65 : x
  2. Step 2: Convert to fraction form
    4,677.40/7,016.10 = 4,130.65/x
  3. Step 3: Cross multiply
    4,677.40x = 7,016.10 × 4,130.65
  4. Step 4: Simplify right side
    4,677.40x = 28,981,053.47
  5. Step 5: Solve for x
    x = 28,981,053.47/4,677.40
  6. Step 6: Final answer
    x = 6,195.98

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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.