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Finding the Fourth Proportional to 3,005.56, 4,140.48 and 2,470.96

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Solution

The fourth proportional to 3,005.56, 4,140.48 and 2,470.96 is: 3,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.56 : 4,140.48 = 2,470.96 : x
  2. Step 2: Convert to fraction form
    3,005.56/4,140.48 = 2,470.96/x
  3. Step 3: Cross multiply
    3,005.56x = 4,140.48 × 2,470.96
  4. Step 4: Simplify right side
    3,005.56x = 10,230,960.46
  5. Step 5: Solve for x
    x = 10,230,960.46/3,005.56
  6. Step 6: Final answer
    x = 3,404.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.