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Finding the Fourth Proportional to 3,445.53, 5,168.30 and 848.46

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Solution

The fourth proportional to 3,445.53, 5,168.30 and 848.46 is: 1,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.53 : 5,168.30 = 848.46 : x
  2. Step 2: Convert to fraction form
    3,445.53/5,168.30 = 848.46/x
  3. Step 3: Cross multiply
    3,445.53x = 5,168.30 × 848.46
  4. Step 4: Simplify right side
    3,445.53x = 4,385,117.32
  5. Step 5: Solve for x
    x = 4,385,117.32/3,445.53
  6. Step 6: Final answer
    x = 1,272.70

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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.