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Finding the Fourth Proportional to 5,482.89, 7,565.81 and 3,244.86

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Solution

The fourth proportional to 5,482.89, 7,565.81 and 3,244.86 is: 4,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.89 : 7,565.81 = 3,244.86 : x
  2. Step 2: Convert to fraction form
    5,482.89/7,565.81 = 3,244.86/x
  3. Step 3: Cross multiply
    5,482.89x = 7,565.81 × 3,244.86
  4. Step 4: Simplify right side
    5,482.89x = 24,549,978.01
  5. Step 5: Solve for x
    x = 24,549,978.01/5,482.89
  6. Step 6: Final answer
    x = 4,477.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.