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Finding the Fourth Proportional to 4,129.48, 6,200.35 and 4,006.46

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Solution

The fourth proportional to 4,129.48, 6,200.35 and 4,006.46 is: 6,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.48 : 6,200.35 = 4,006.46 : x
  2. Step 2: Convert to fraction form
    4,129.48/6,200.35 = 4,006.46/x
  3. Step 3: Cross multiply
    4,129.48x = 6,200.35 × 4,006.46
  4. Step 4: Simplify right side
    4,129.48x = 24,841,459.75
  5. Step 5: Solve for x
    x = 24,841,459.75/4,129.48
  6. Step 6: Final answer
    x = 6,015.64

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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.