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Finding the Fourth Proportional to 2,857.59, 4,288.20 and 2,470.32

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Solution

The fourth proportional to 2,857.59, 4,288.20 and 2,470.32 is: 3,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.59 : 4,288.20 = 2,470.32 : x
  2. Step 2: Convert to fraction form
    2,857.59/4,288.20 = 2,470.32/x
  3. Step 3: Cross multiply
    2,857.59x = 4,288.20 × 2,470.32
  4. Step 4: Simplify right side
    2,857.59x = 10,593,226.22
  5. Step 5: Solve for x
    x = 10,593,226.22/2,857.59
  6. Step 6: Final answer
    x = 3,707.05

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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.