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Finding the Fourth Proportional to 3,707.28, 5,559.12 and 1,857.60

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Solution

The fourth proportional to 3,707.28, 5,559.12 and 1,857.60 is: 2,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.28 : 5,559.12 = 1,857.60 : x
  2. Step 2: Convert to fraction form
    3,707.28/5,559.12 = 1,857.60/x
  3. Step 3: Cross multiply
    3,707.28x = 5,559.12 × 1,857.60
  4. Step 4: Simplify right side
    3,707.28x = 10,326,621.31
  5. Step 5: Solve for x
    x = 10,326,621.31/3,707.28
  6. Step 6: Final answer
    x = 2,785.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.