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Finding the Fourth Proportional to 4,695.45, 7,042.14 and 1,406.76

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Solution

The fourth proportional to 4,695.45, 7,042.14 and 1,406.76 is: 2,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.45 : 7,042.14 = 1,406.76 : x
  2. Step 2: Convert to fraction form
    4,695.45/7,042.14 = 1,406.76/x
  3. Step 3: Cross multiply
    4,695.45x = 7,042.14 × 1,406.76
  4. Step 4: Simplify right side
    4,695.45x = 9,906,600.87
  5. Step 5: Solve for x
    x = 9,906,600.87/4,695.45
  6. Step 6: Final answer
    x = 2,109.83

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