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Finding the Fourth Proportional to 3,165.02, 4,711.17 and 3,118.22

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Solution

The fourth proportional to 3,165.02, 4,711.17 and 3,118.22 is: 4,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.02 : 4,711.17 = 3,118.22 : x
  2. Step 2: Convert to fraction form
    3,165.02/4,711.17 = 3,118.22/x
  3. Step 3: Cross multiply
    3,165.02x = 4,711.17 × 3,118.22
  4. Step 4: Simplify right side
    3,165.02x = 14,690,448.93
  5. Step 5: Solve for x
    x = 14,690,448.93/3,165.02
  6. Step 6: Final answer
    x = 4,641.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.