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Finding the Fourth Proportional to 3,445.65, 5,168.49 and 848.58

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Solution

The fourth proportional to 3,445.65, 5,168.49 and 848.58 is: 1,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.65 : 5,168.49 = 848.58 : x
  2. Step 2: Convert to fraction form
    3,445.65/5,168.49 = 848.58/x
  3. Step 3: Cross multiply
    3,445.65x = 5,168.49 × 848.58
  4. Step 4: Simplify right side
    3,445.65x = 4,385,877.24
  5. Step 5: Solve for x
    x = 4,385,877.24/3,445.65
  6. Step 6: Final answer
    x = 1,272.87

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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.