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Finding the Fourth Proportional to 3,702.62, 5,554.04 and 1,237.36

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Solution

The fourth proportional to 3,702.62, 5,554.04 and 1,237.36 is: 1,856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.62 : 5,554.04 = 1,237.36 : x
  2. Step 2: Convert to fraction form
    3,702.62/5,554.04 = 1,237.36/x
  3. Step 3: Cross multiply
    3,702.62x = 5,554.04 × 1,237.36
  4. Step 4: Simplify right side
    3,702.62x = 6,872,346.93
  5. Step 5: Solve for x
    x = 6,872,346.93/3,702.62
  6. Step 6: Final answer
    x = 1,856.08

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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.