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Finding the Fourth Proportional to 5,129.82, 7,702.02 and 4,894.92

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Solution

The fourth proportional to 5,129.82, 7,702.02 and 4,894.92 is: 7,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.82 : 7,702.02 = 4,894.92 : x
  2. Step 2: Convert to fraction form
    5,129.82/7,702.02 = 4,894.92/x
  3. Step 3: Cross multiply
    5,129.82x = 7,702.02 × 4,894.92
  4. Step 4: Simplify right side
    5,129.82x = 37,700,771.74
  5. Step 5: Solve for x
    x = 37,700,771.74/5,129.82
  6. Step 6: Final answer
    x = 7,349.34

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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.