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Finding the Fourth Proportional to 4,129.55, 6,194.30 and 1,009.57

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Solution

The fourth proportional to 4,129.55, 6,194.30 and 1,009.57 is: 1,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.55 : 6,194.30 = 1,009.57 : x
  2. Step 2: Convert to fraction form
    4,129.55/6,194.30 = 1,009.57/x
  3. Step 3: Cross multiply
    4,129.55x = 6,194.30 × 1,009.57
  4. Step 4: Simplify right side
    4,129.55x = 6,253,582.15
  5. Step 5: Solve for x
    x = 6,253,582.15/4,129.55
  6. Step 6: Final answer
    x = 1,514.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.