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Finding the Fourth Proportional to 4,340.85, 6,511.24 and 1,053.96

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Solution

The fourth proportional to 4,340.85, 6,511.24 and 1,053.96 is: 1,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.85 : 6,511.24 = 1,053.96 : x
  2. Step 2: Convert to fraction form
    4,340.85/6,511.24 = 1,053.96/x
  3. Step 3: Cross multiply
    4,340.85x = 6,511.24 × 1,053.96
  4. Step 4: Simplify right side
    4,340.85x = 6,862,586.51
  5. Step 5: Solve for x
    x = 6,862,586.51/4,340.85
  6. Step 6: Final answer
    x = 1,580.93

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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.