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Finding the Fourth Proportional to 4,034.92, 6,053.10 and 1,571.08

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Solution

The fourth proportional to 4,034.92, 6,053.10 and 1,571.08 is: 2,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.92 : 6,053.10 = 1,571.08 : x
  2. Step 2: Convert to fraction form
    4,034.92/6,053.10 = 1,571.08/x
  3. Step 3: Cross multiply
    4,034.92x = 6,053.10 × 1,571.08
  4. Step 4: Simplify right side
    4,034.92x = 9,509,904.35
  5. Step 5: Solve for x
    x = 9,509,904.35/4,034.92
  6. Step 6: Final answer
    x = 2,356.90

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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.