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Finding the Fourth Proportional to 4,663.59, 6,961.24 and 4,110

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Solution

The fourth proportional to 4,663.59, 6,961.24 and 4,110 is: 6,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.59 : 6,961.24 = 4,110 : x
  2. Step 2: Convert to fraction form
    4,663.59/6,961.24 = 4,110/x
  3. Step 3: Cross multiply
    4,663.59x = 6,961.24 × 4,110
  4. Step 4: Simplify right side
    4,663.59x = 28,610,696.40
  5. Step 5: Solve for x
    x = 28,610,696.40/4,663.59
  6. Step 6: Final answer
    x = 6,134.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.