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Finding the Fourth Proportional to 4,713.14, 7,070.52 and 2,117.90

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Solution

The fourth proportional to 4,713.14, 7,070.52 and 2,117.90 is: 3,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.14 : 7,070.52 = 2,117.90 : x
  2. Step 2: Convert to fraction form
    4,713.14/7,070.52 = 2,117.90/x
  3. Step 3: Cross multiply
    4,713.14x = 7,070.52 × 2,117.90
  4. Step 4: Simplify right side
    4,713.14x = 14,974,654.31
  5. Step 5: Solve for x
    x = 14,974,654.31/4,713.14
  6. Step 6: Final answer
    x = 3,177.21

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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.