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Finding the Fourth Proportional to 4,135.62, 5,702.49 and 3,014.58

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Solution

The fourth proportional to 4,135.62, 5,702.49 and 3,014.58 is: 4,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.62 : 5,702.49 = 3,014.58 : x
  2. Step 2: Convert to fraction form
    4,135.62/5,702.49 = 3,014.58/x
  3. Step 3: Cross multiply
    4,135.62x = 5,702.49 × 3,014.58
  4. Step 4: Simplify right side
    4,135.62x = 17,190,612.30
  5. Step 5: Solve for x
    x = 17,190,612.30/4,135.62
  6. Step 6: Final answer
    x = 4,156.72

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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.