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Finding the Fourth Proportional to 4,505.66, 6,758.42 and 1,584

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Solution

The fourth proportional to 4,505.66, 6,758.42 and 1,584 is: 2,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.66 : 6,758.42 = 1,584 : x
  2. Step 2: Convert to fraction form
    4,505.66/6,758.42 = 1,584/x
  3. Step 3: Cross multiply
    4,505.66x = 6,758.42 × 1,584
  4. Step 4: Simplify right side
    4,505.66x = 10,705,337.28
  5. Step 5: Solve for x
    x = 10,705,337.28/4,505.66
  6. Step 6: Final answer
    x = 2,375.98

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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.