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Finding the Fourth Proportional to 4,476.62, 6,715.80 and 2,011.40

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Solution

The fourth proportional to 4,476.62, 6,715.80 and 2,011.40 is: 3,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.62 : 6,715.80 = 2,011.40 : x
  2. Step 2: Convert to fraction form
    4,476.62/6,715.80 = 2,011.40/x
  3. Step 3: Cross multiply
    4,476.62x = 6,715.80 × 2,011.40
  4. Step 4: Simplify right side
    4,476.62x = 13,508,160.12
  5. Step 5: Solve for x
    x = 13,508,160.12/4,476.62
  6. Step 6: Final answer
    x = 3,017.49

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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.