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Finding the Fourth Proportional to 5,177.66, 7,767.90 and 4,389.53

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Solution

The fourth proportional to 5,177.66, 7,767.90 and 4,389.53 is: 6,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.66 : 7,767.90 = 4,389.53 : x
  2. Step 2: Convert to fraction form
    5,177.66/7,767.90 = 4,389.53/x
  3. Step 3: Cross multiply
    5,177.66x = 7,767.90 × 4,389.53
  4. Step 4: Simplify right side
    5,177.66x = 34,097,391.25
  5. Step 5: Solve for x
    x = 34,097,391.25/5,177.66
  6. Step 6: Final answer
    x = 6,585.49

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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.