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Finding the Fourth Proportional to 3,445.77, 5,168.65 and 848.71

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Solution

The fourth proportional to 3,445.77, 5,168.65 and 848.71 is: 1,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.77 : 5,168.65 = 848.71 : x
  2. Step 2: Convert to fraction form
    3,445.77/5,168.65 = 848.71/x
  3. Step 3: Cross multiply
    3,445.77x = 5,168.65 × 848.71
  4. Step 4: Simplify right side
    3,445.77x = 4,386,661.22
  5. Step 5: Solve for x
    x = 4,386,661.22/3,445.77
  6. Step 6: Final answer
    x = 1,273.06

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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.