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Finding the Fourth Proportional to 3,445.42, 5,168.16 and 1,254.16

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Solution

The fourth proportional to 3,445.42, 5,168.16 and 1,254.16 is: 1,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.42 : 5,168.16 = 1,254.16 : x
  2. Step 2: Convert to fraction form
    3,445.42/5,168.16 = 1,254.16/x
  3. Step 3: Cross multiply
    3,445.42x = 5,168.16 × 1,254.16
  4. Step 4: Simplify right side
    3,445.42x = 6,481,699.55
  5. Step 5: Solve for x
    x = 6,481,699.55/3,445.42
  6. Step 6: Final answer
    x = 1,881.25

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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.