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Finding the Fourth Proportional to 5,475.78, 8,211 and 2,701.53

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Solution

The fourth proportional to 5,475.78, 8,211 and 2,701.53 is: 4,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.78 : 8,211 = 2,701.53 : x
  2. Step 2: Convert to fraction form
    5,475.78/8,211 = 2,701.53/x
  3. Step 3: Cross multiply
    5,475.78x = 8,211 × 2,701.53
  4. Step 4: Simplify right side
    5,475.78x = 22,182,262.83
  5. Step 5: Solve for x
    x = 22,182,262.83/5,475.78
  6. Step 6: Final answer
    x = 4,050.98

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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.