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Finding the Fourth Proportional to 3,123.68, 4,702.72 and 2,851.52

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Solution

The fourth proportional to 3,123.68, 4,702.72 and 2,851.52 is: 4,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.68 : 4,702.72 = 2,851.52 : x
  2. Step 2: Convert to fraction form
    3,123.68/4,702.72 = 2,851.52/x
  3. Step 3: Cross multiply
    3,123.68x = 4,702.72 × 2,851.52
  4. Step 4: Simplify right side
    3,123.68x = 13,409,900.13
  5. Step 5: Solve for x
    x = 13,409,900.13/3,123.68
  6. Step 6: Final answer
    x = 4,292.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.