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Finding the Fourth Proportional to 3,544.65, 5,313.55 and 1,985.41

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Solution

The fourth proportional to 3,544.65, 5,313.55 and 1,985.41 is: 2,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.65 : 5,313.55 = 1,985.41 : x
  2. Step 2: Convert to fraction form
    3,544.65/5,313.55 = 1,985.41/x
  3. Step 3: Cross multiply
    3,544.65x = 5,313.55 × 1,985.41
  4. Step 4: Simplify right side
    3,544.65x = 10,549,565.38
  5. Step 5: Solve for x
    x = 10,549,565.38/3,544.65
  6. Step 6: Final answer
    x = 2,976.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.