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Finding the Fourth Proportional to 3,346.48, 5,018.10 and 1,154.44

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Solution

The fourth proportional to 3,346.48, 5,018.10 and 1,154.44 is: 1,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.48 : 5,018.10 = 1,154.44 : x
  2. Step 2: Convert to fraction form
    3,346.48/5,018.10 = 1,154.44/x
  3. Step 3: Cross multiply
    3,346.48x = 5,018.10 × 1,154.44
  4. Step 4: Simplify right side
    3,346.48x = 5,793,095.36
  5. Step 5: Solve for x
    x = 5,793,095.36/3,346.48
  6. Step 6: Final answer
    x = 1,731.10

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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.