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Finding the Fourth Proportional to 4,113, 6,170.14 and 1,339.02

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Solution

The fourth proportional to 4,113, 6,170.14 and 1,339.02 is: 2,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113 : 6,170.14 = 1,339.02 : x
  2. Step 2: Convert to fraction form
    4,113/6,170.14 = 1,339.02/x
  3. Step 3: Cross multiply
    4,113x = 6,170.14 × 1,339.02
  4. Step 4: Simplify right side
    4,113x = 8,261,925.18
  5. Step 5: Solve for x
    x = 8,261,925.18/4,113
  6. Step 6: Final answer
    x = 2,008.73

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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.