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Finding the Fourth Proportional to 3,445.34, 5,165.10 and 1,252.80

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Solution

The fourth proportional to 3,445.34, 5,165.10 and 1,252.80 is: 1,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.34 : 5,165.10 = 1,252.80 : x
  2. Step 2: Convert to fraction form
    3,445.34/5,165.10 = 1,252.80/x
  3. Step 3: Cross multiply
    3,445.34x = 5,165.10 × 1,252.80
  4. Step 4: Simplify right side
    3,445.34x = 6,470,837.28
  5. Step 5: Solve for x
    x = 6,470,837.28/3,445.34
  6. Step 6: Final answer
    x = 1,878.14

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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.