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Finding the Fourth Proportional to 6,424.02, 8,866.80 and 4,191.48

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Solution

The fourth proportional to 6,424.02, 8,866.80 and 4,191.48 is: 5,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.02 : 8,866.80 = 4,191.48 : x
  2. Step 2: Convert to fraction form
    6,424.02/8,866.80 = 4,191.48/x
  3. Step 3: Cross multiply
    6,424.02x = 8,866.80 × 4,191.48
  4. Step 4: Simplify right side
    6,424.02x = 37,165,014.86
  5. Step 5: Solve for x
    x = 37,165,014.86/6,424.02
  6. Step 6: Final answer
    x = 5,785.32

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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.