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Finding the Fourth Proportional to 3,702.10, 5,548.65 and 1,617.70

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Solution

The fourth proportional to 3,702.10, 5,548.65 and 1,617.70 is: 2,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.10 : 5,548.65 = 1,617.70 : x
  2. Step 2: Convert to fraction form
    3,702.10/5,548.65 = 1,617.70/x
  3. Step 3: Cross multiply
    3,702.10x = 5,548.65 × 1,617.70
  4. Step 4: Simplify right side
    3,702.10x = 8,976,051.11
  5. Step 5: Solve for x
    x = 8,976,051.11/3,702.10
  6. Step 6: Final answer
    x = 2,424.58

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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.