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Finding the Fourth Proportional to 3,138.13, 4,706.49 and 947.02

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Solution

The fourth proportional to 3,138.13, 4,706.49 and 947.02 is: 1,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.13 : 4,706.49 = 947.02 : x
  2. Step 2: Convert to fraction form
    3,138.13/4,706.49 = 947.02/x
  3. Step 3: Cross multiply
    3,138.13x = 4,706.49 × 947.02
  4. Step 4: Simplify right side
    3,138.13x = 4,457,140.16
  5. Step 5: Solve for x
    x = 4,457,140.16/3,138.13
  6. Step 6: Final answer
    x = 1,420.32

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Why These Related Problems?

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