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Finding the Fourth Proportional to 4,340.14, 6,510.22 and 1,053.24

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Solution

The fourth proportional to 4,340.14, 6,510.22 and 1,053.24 is: 1,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.14 : 6,510.22 = 1,053.24 : x
  2. Step 2: Convert to fraction form
    4,340.14/6,510.22 = 1,053.24/x
  3. Step 3: Cross multiply
    4,340.14x = 6,510.22 × 1,053.24
  4. Step 4: Simplify right side
    4,340.14x = 6,856,824.11
  5. Step 5: Solve for x
    x = 6,856,824.11/4,340.14
  6. Step 6: Final answer
    x = 1,579.86

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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.