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Finding the Fourth Proportional to 4,290.48, 6,432.06 and 4,086.36

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Solution

The fourth proportional to 4,290.48, 6,432.06 and 4,086.36 is: 6,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.48 : 6,432.06 = 4,086.36 : x
  2. Step 2: Convert to fraction form
    4,290.48/6,432.06 = 4,086.36/x
  3. Step 3: Cross multiply
    4,290.48x = 6,432.06 × 4,086.36
  4. Step 4: Simplify right side
    4,290.48x = 26,283,712.70
  5. Step 5: Solve for x
    x = 26,283,712.70/4,290.48
  6. Step 6: Final answer
    x = 6,126.05

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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.