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Finding the Fourth Proportional to 3,642.10, 5,462.73 and 1,009.80

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Solution

The fourth proportional to 3,642.10, 5,462.73 and 1,009.80 is: 1,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.10 : 5,462.73 = 1,009.80 : x
  2. Step 2: Convert to fraction form
    3,642.10/5,462.73 = 1,009.80/x
  3. Step 3: Cross multiply
    3,642.10x = 5,462.73 × 1,009.80
  4. Step 4: Simplify right side
    3,642.10x = 5,516,264.75
  5. Step 5: Solve for x
    x = 5,516,264.75/3,642.10
  6. Step 6: Final answer
    x = 1,514.58

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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.