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Finding the Fourth Proportional to 3,800.35, 5,702.50 and 2,875.64

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Solution

The fourth proportional to 3,800.35, 5,702.50 and 2,875.64 is: 4,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.35 : 5,702.50 = 2,875.64 : x
  2. Step 2: Convert to fraction form
    3,800.35/5,702.50 = 2,875.64/x
  3. Step 3: Cross multiply
    3,800.35x = 5,702.50 × 2,875.64
  4. Step 4: Simplify right side
    3,800.35x = 16,398,337.10
  5. Step 5: Solve for x
    x = 16,398,337.10/3,800.35
  6. Step 6: Final answer
    x = 4,314.95

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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.