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Finding the Fourth Proportional to 4,711.32, 7,065.90 and 2,115

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Solution

The fourth proportional to 4,711.32, 7,065.90 and 2,115 is: 3,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.32 : 7,065.90 = 2,115 : x
  2. Step 2: Convert to fraction form
    4,711.32/7,065.90 = 2,115/x
  3. Step 3: Cross multiply
    4,711.32x = 7,065.90 × 2,115
  4. Step 4: Simplify right side
    4,711.32x = 14,944,378.50
  5. Step 5: Solve for x
    x = 14,944,378.50/4,711.32
  6. Step 6: Final answer
    x = 3,172.02

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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.