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Finding the Fourth Proportional to 4,188.79, 6,269.34 and 4,041.17

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Solution

The fourth proportional to 4,188.79, 6,269.34 and 4,041.17 is: 6,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.79 : 6,269.34 = 4,041.17 : x
  2. Step 2: Convert to fraction form
    4,188.79/6,269.34 = 4,041.17/x
  3. Step 3: Cross multiply
    4,188.79x = 6,269.34 × 4,041.17
  4. Step 4: Simplify right side
    4,188.79x = 25,335,455.57
  5. Step 5: Solve for x
    x = 25,335,455.57/4,188.79
  6. Step 6: Final answer
    x = 6,048.40

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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.