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Finding the Fourth Proportional to 5,660.86, 8,482.06 and 3,464.98

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Solution

The fourth proportional to 5,660.86, 8,482.06 and 3,464.98 is: 5,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.86 : 8,482.06 = 3,464.98 : x
  2. Step 2: Convert to fraction form
    5,660.86/8,482.06 = 3,464.98/x
  3. Step 3: Cross multiply
    5,660.86x = 8,482.06 × 3,464.98
  4. Step 4: Simplify right side
    5,660.86x = 29,390,168.26
  5. Step 5: Solve for x
    x = 29,390,168.26/5,660.86
  6. Step 6: Final answer
    x = 5,191.82

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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.