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Finding the Fourth Proportional to 4,484.76, 6,711.84 and 4,095.24

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Solution

The fourth proportional to 4,484.76, 6,711.84 and 4,095.24 is: 6,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484.76 : 6,711.84 = 4,095.24 : x
  2. Step 2: Convert to fraction form
    4,484.76/6,711.84 = 4,095.24/x
  3. Step 3: Cross multiply
    4,484.76x = 6,711.84 × 4,095.24
  4. Step 4: Simplify right side
    4,484.76x = 27,486,595.64
  5. Step 5: Solve for x
    x = 27,486,595.64/4,484.76
  6. Step 6: Final answer
    x = 6,128.89

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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.