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Finding the Fourth Proportional to 4,131.66, 5,702.80 and 2,558.88

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Solution

The fourth proportional to 4,131.66, 5,702.80 and 2,558.88 is: 3,531.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.66 : 5,702.80 = 2,558.88 : x
  2. Step 2: Convert to fraction form
    4,131.66/5,702.80 = 2,558.88/x
  3. Step 3: Cross multiply
    4,131.66x = 5,702.80 × 2,558.88
  4. Step 4: Simplify right side
    4,131.66x = 14,592,780.86
  5. Step 5: Solve for x
    x = 14,592,780.86/4,131.66
  6. Step 6: Final answer
    x = 3,531.94

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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.