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Finding the Fourth Proportional to 3,139.96, 4,706.65 and 1,059.25

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Solution

The fourth proportional to 3,139.96, 4,706.65 and 1,059.25 is: 1,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.96 : 4,706.65 = 1,059.25 : x
  2. Step 2: Convert to fraction form
    3,139.96/4,706.65 = 1,059.25/x
  3. Step 3: Cross multiply
    3,139.96x = 4,706.65 × 1,059.25
  4. Step 4: Simplify right side
    3,139.96x = 4,985,519.01
  5. Step 5: Solve for x
    x = 4,985,519.01/3,139.96
  6. Step 6: Final answer
    x = 1,587.77

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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.