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Finding the Fourth Proportional to 5,218.08, 7,798.38 and 3,815.43

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Solution

The fourth proportional to 5,218.08, 7,798.38 and 3,815.43 is: 5,702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.08 : 7,798.38 = 3,815.43 : x
  2. Step 2: Convert to fraction form
    5,218.08/7,798.38 = 3,815.43/x
  3. Step 3: Cross multiply
    5,218.08x = 7,798.38 × 3,815.43
  4. Step 4: Simplify right side
    5,218.08x = 29,754,173.00
  5. Step 5: Solve for x
    x = 29,754,173.00/5,218.08
  6. Step 6: Final answer
    x = 5,702.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.