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Finding the Fourth Proportional to 4,897.80, 7,347.12 and 1,387.83

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Solution

The fourth proportional to 4,897.80, 7,347.12 and 1,387.83 is: 2,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.80 : 7,347.12 = 1,387.83 : x
  2. Step 2: Convert to fraction form
    4,897.80/7,347.12 = 1,387.83/x
  3. Step 3: Cross multiply
    4,897.80x = 7,347.12 × 1,387.83
  4. Step 4: Simplify right side
    4,897.80x = 10,196,553.55
  5. Step 5: Solve for x
    x = 10,196,553.55/4,897.80
  6. Step 6: Final answer
    x = 2,081.86

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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.