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Finding the Fourth Proportional to 4,536, 6,767.28 and 4,098.60

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Solution

The fourth proportional to 4,536, 6,767.28 and 4,098.60 is: 6,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536 : 6,767.28 = 4,098.60 : x
  2. Step 2: Convert to fraction form
    4,536/6,767.28 = 4,098.60/x
  3. Step 3: Cross multiply
    4,536x = 6,767.28 × 4,098.60
  4. Step 4: Simplify right side
    4,536x = 27,736,373.81
  5. Step 5: Solve for x
    x = 27,736,373.81/4,536
  6. Step 6: Final answer
    x = 6,114.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.