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Finding the Fourth Proportional to 4,737.48, 7,108.26 and 1,966.14

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Solution

The fourth proportional to 4,737.48, 7,108.26 and 1,966.14 is: 2,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.48 : 7,108.26 = 1,966.14 : x
  2. Step 2: Convert to fraction form
    4,737.48/7,108.26 = 1,966.14/x
  3. Step 3: Cross multiply
    4,737.48x = 7,108.26 × 1,966.14
  4. Step 4: Simplify right side
    4,737.48x = 13,975,834.32
  5. Step 5: Solve for x
    x = 13,975,834.32/4,737.48
  6. Step 6: Final answer
    x = 2,950.06

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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.