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Finding the Fourth Proportional to 5,801.68, 8,702.40 and 2,338

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Solution

The fourth proportional to 5,801.68, 8,702.40 and 2,338 is: 3,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.68 : 8,702.40 = 2,338 : x
  2. Step 2: Convert to fraction form
    5,801.68/8,702.40 = 2,338/x
  3. Step 3: Cross multiply
    5,801.68x = 8,702.40 × 2,338
  4. Step 4: Simplify right side
    5,801.68x = 20,346,211.20
  5. Step 5: Solve for x
    x = 20,346,211.20/5,801.68
  6. Step 6: Final answer
    x = 3,506.95

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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.