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Finding the Fourth Proportional to 4,610.68, 6,916.20 and 2,013.76

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Solution

The fourth proportional to 4,610.68, 6,916.20 and 2,013.76 is: 3,020.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.68 : 6,916.20 = 2,013.76 : x
  2. Step 2: Convert to fraction form
    4,610.68/6,916.20 = 2,013.76/x
  3. Step 3: Cross multiply
    4,610.68x = 6,916.20 × 2,013.76
  4. Step 4: Simplify right side
    4,610.68x = 13,927,566.91
  5. Step 5: Solve for x
    x = 13,927,566.91/4,610.68
  6. Step 6: Final answer
    x = 3,020.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.