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Finding the Fourth Proportional to 4,374.24, 6,560.88 and 1,296

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Solution

The fourth proportional to 4,374.24, 6,560.88 and 1,296 is: 1,943.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374.24 : 6,560.88 = 1,296 : x
  2. Step 2: Convert to fraction form
    4,374.24/6,560.88 = 1,296/x
  3. Step 3: Cross multiply
    4,374.24x = 6,560.88 × 1,296
  4. Step 4: Simplify right side
    4,374.24x = 8,502,900.48
  5. Step 5: Solve for x
    x = 8,502,900.48/4,374.24
  6. Step 6: Final answer
    x = 1,943.86

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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.