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Finding the Fourth Proportional to 4,295.64, 6,443.40 and 1,374.22

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Solution

The fourth proportional to 4,295.64, 6,443.40 and 1,374.22 is: 2,061.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.64 : 6,443.40 = 1,374.22 : x
  2. Step 2: Convert to fraction form
    4,295.64/6,443.40 = 1,374.22/x
  3. Step 3: Cross multiply
    4,295.64x = 6,443.40 × 1,374.22
  4. Step 4: Simplify right side
    4,295.64x = 8,854,649.15
  5. Step 5: Solve for x
    x = 8,854,649.15/4,295.64
  6. Step 6: Final answer
    x = 2,061.31

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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.