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Finding the Fourth Proportional to 4,742.92, 7,114.68 and 1,456.06

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Solution

The fourth proportional to 4,742.92, 7,114.68 and 1,456.06 is: 2,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.92 : 7,114.68 = 1,456.06 : x
  2. Step 2: Convert to fraction form
    4,742.92/7,114.68 = 1,456.06/x
  3. Step 3: Cross multiply
    4,742.92x = 7,114.68 × 1,456.06
  4. Step 4: Simplify right side
    4,742.92x = 10,359,400.96
  5. Step 5: Solve for x
    x = 10,359,400.96/4,742.92
  6. Step 6: Final answer
    x = 2,184.18

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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.