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Finding the Fourth Proportional to 4,610.68, 6,916.10 and 1,147.94

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Solution

The fourth proportional to 4,610.68, 6,916.10 and 1,147.94 is: 1,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.68 : 6,916.10 = 1,147.94 : x
  2. Step 2: Convert to fraction form
    4,610.68/6,916.10 = 1,147.94/x
  3. Step 3: Cross multiply
    4,610.68x = 6,916.10 × 1,147.94
  4. Step 4: Simplify right side
    4,610.68x = 7,939,267.83
  5. Step 5: Solve for x
    x = 7,939,267.83/4,610.68
  6. Step 6: Final answer
    x = 1,721.93

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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.