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Finding the Fourth Proportional to 4,047.06, 6,070.60 and 2,314.47

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Solution

The fourth proportional to 4,047.06, 6,070.60 and 2,314.47 is: 3,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.06 : 6,070.60 = 2,314.47 : x
  2. Step 2: Convert to fraction form
    4,047.06/6,070.60 = 2,314.47/x
  3. Step 3: Cross multiply
    4,047.06x = 6,070.60 × 2,314.47
  4. Step 4: Simplify right side
    4,047.06x = 14,050,221.58
  5. Step 5: Solve for x
    x = 14,050,221.58/4,047.06
  6. Step 6: Final answer
    x = 3,471.71

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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.