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Finding the Fourth Proportional to 4,527, 6,792.56 and 2,681.76

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Solution

The fourth proportional to 4,527, 6,792.56 and 2,681.76 is: 4,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527 : 6,792.56 = 2,681.76 : x
  2. Step 2: Convert to fraction form
    4,527/6,792.56 = 2,681.76/x
  3. Step 3: Cross multiply
    4,527x = 6,792.56 × 2,681.76
  4. Step 4: Simplify right side
    4,527x = 18,216,015.71
  5. Step 5: Solve for x
    x = 18,216,015.71/4,527
  6. Step 6: Final answer
    x = 4,023.86

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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.