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Finding the Fourth Proportional to 4,256.68, 6,385.06 and 1,295.60

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Solution

The fourth proportional to 4,256.68, 6,385.06 and 1,295.60 is: 1,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.68 : 6,385.06 = 1,295.60 : x
  2. Step 2: Convert to fraction form
    4,256.68/6,385.06 = 1,295.60/x
  3. Step 3: Cross multiply
    4,256.68x = 6,385.06 × 1,295.60
  4. Step 4: Simplify right side
    4,256.68x = 8,272,496.46
  5. Step 5: Solve for x
    x = 8,272,496.46/4,256.68
  6. Step 6: Final answer
    x = 1,943.42

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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.