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Finding the Fourth Proportional to 5,702.36, 7,869.84 and 3,605

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Solution

The fourth proportional to 5,702.36, 7,869.84 and 3,605 is: 4,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.36 : 7,869.84 = 3,605 : x
  2. Step 2: Convert to fraction form
    5,702.36/7,869.84 = 3,605/x
  3. Step 3: Cross multiply
    5,702.36x = 7,869.84 × 3,605
  4. Step 4: Simplify right side
    5,702.36x = 28,370,773.20
  5. Step 5: Solve for x
    x = 28,370,773.20/5,702.36
  6. Step 6: Final answer
    x = 4,975.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.