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Finding the Fourth Proportional to 6,464.90, 8,920.86 and 4,340.00

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Solution

The fourth proportional to 6,464.90, 8,920.86 and 4,340.00 is: 5,988.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.90 : 8,920.86 = 4,340.00 : x
  2. Step 2: Convert to fraction form
    6,464.90/8,920.86 = 4,340.00/x
  3. Step 3: Cross multiply
    6,464.90x = 8,920.86 × 4,340.00
  4. Step 4: Simplify right side
    6,464.90x = 38,716,487.80
  5. Step 5: Solve for x
    x = 38,716,487.80/6,464.90
  6. Step 6: Final answer
    x = 5,988.73

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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.