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Finding the Fourth Proportional to 3,702.80, 5,547.96 and 2,237.48

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Solution

The fourth proportional to 3,702.80, 5,547.96 and 2,237.48 is: 3,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.80 : 5,547.96 = 2,237.48 : x
  2. Step 2: Convert to fraction form
    3,702.80/5,547.96 = 2,237.48/x
  3. Step 3: Cross multiply
    3,702.80x = 5,547.96 × 2,237.48
  4. Step 4: Simplify right side
    3,702.80x = 12,413,449.54
  5. Step 5: Solve for x
    x = 12,413,449.54/3,702.80
  6. Step 6: Final answer
    x = 3,352.45

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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.