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Finding the Fourth Proportional to 3,641.48, 5,452.80 and 3,055.06

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Solution

The fourth proportional to 3,641.48, 5,452.80 and 3,055.06 is: 4,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.48 : 5,452.80 = 3,055.06 : x
  2. Step 2: Convert to fraction form
    3,641.48/5,452.80 = 3,055.06/x
  3. Step 3: Cross multiply
    3,641.48x = 5,452.80 × 3,055.06
  4. Step 4: Simplify right side
    3,641.48x = 16,658,631.17
  5. Step 5: Solve for x
    x = 16,658,631.17/3,641.48
  6. Step 6: Final answer
    x = 4,574.69

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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.