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Finding the Fourth Proportional to 3,678.56, 5,518.13 and 1,046.03

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Solution

The fourth proportional to 3,678.56, 5,518.13 and 1,046.03 is: 1,569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.56 : 5,518.13 = 1,046.03 : x
  2. Step 2: Convert to fraction form
    3,678.56/5,518.13 = 1,046.03/x
  3. Step 3: Cross multiply
    3,678.56x = 5,518.13 × 1,046.03
  4. Step 4: Simplify right side
    3,678.56x = 5,772,096.70
  5. Step 5: Solve for x
    x = 5,772,096.70/3,678.56
  6. Step 6: Final answer
    x = 1,569.12

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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.