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Finding the Fourth Proportional to 3,158.02, 4,357.14 and 2,039.60

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Solution

The fourth proportional to 3,158.02, 4,357.14 and 2,039.60 is: 2,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.02 : 4,357.14 = 2,039.60 : x
  2. Step 2: Convert to fraction form
    3,158.02/4,357.14 = 2,039.60/x
  3. Step 3: Cross multiply
    3,158.02x = 4,357.14 × 2,039.60
  4. Step 4: Simplify right side
    3,158.02x = 8,886,822.74
  5. Step 5: Solve for x
    x = 8,886,822.74/3,158.02
  6. Step 6: Final answer
    x = 2,814.05

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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.