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Finding the Fourth Proportional to 3,139.16, 4,706.05 and 1,289.12

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Solution

The fourth proportional to 3,139.16, 4,706.05 and 1,289.12 is: 1,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.16 : 4,706.05 = 1,289.12 : x
  2. Step 2: Convert to fraction form
    3,139.16/4,706.05 = 1,289.12/x
  3. Step 3: Cross multiply
    3,139.16x = 4,706.05 × 1,289.12
  4. Step 4: Simplify right side
    3,139.16x = 6,066,639.65
  5. Step 5: Solve for x
    x = 6,066,639.65/3,139.16
  6. Step 6: Final answer
    x = 1,932.57

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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.