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Finding the Fourth Proportional to 4,098.78, 6,148.53 and 1,758.90

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Solution

The fourth proportional to 4,098.78, 6,148.53 and 1,758.90 is: 2,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.78 : 6,148.53 = 1,758.90 : x
  2. Step 2: Convert to fraction form
    4,098.78/6,148.53 = 1,758.90/x
  3. Step 3: Cross multiply
    4,098.78x = 6,148.53 × 1,758.90
  4. Step 4: Simplify right side
    4,098.78x = 10,814,649.42
  5. Step 5: Solve for x
    x = 10,814,649.42/4,098.78
  6. Step 6: Final answer
    x = 2,638.50

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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.