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Finding the Fourth Proportional to 3,184.92, 4,395.46 and 1,858.76

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Solution

The fourth proportional to 3,184.92, 4,395.46 and 1,858.76 is: 2,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.92 : 4,395.46 = 1,858.76 : x
  2. Step 2: Convert to fraction form
    3,184.92/4,395.46 = 1,858.76/x
  3. Step 3: Cross multiply
    3,184.92x = 4,395.46 × 1,858.76
  4. Step 4: Simplify right side
    3,184.92x = 8,170,105.23
  5. Step 5: Solve for x
    x = 8,170,105.23/3,184.92
  6. Step 6: Final answer
    x = 2,565.25

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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.