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Finding the Fourth Proportional to 4,954.68, 7,432.02 and 1,491.93

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Solution

The fourth proportional to 4,954.68, 7,432.02 and 1,491.93 is: 2,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.68 : 7,432.02 = 1,491.93 : x
  2. Step 2: Convert to fraction form
    4,954.68/7,432.02 = 1,491.93/x
  3. Step 3: Cross multiply
    4,954.68x = 7,432.02 × 1,491.93
  4. Step 4: Simplify right side
    4,954.68x = 11,088,053.60
  5. Step 5: Solve for x
    x = 11,088,053.60/4,954.68
  6. Step 6: Final answer
    x = 2,237.90

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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.