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Finding the Fourth Proportional to 6,523.79, 9,000.59 and 3,870.77

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Solution

The fourth proportional to 6,523.79, 9,000.59 and 3,870.77 is: 5,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.79 : 9,000.59 = 3,870.77 : x
  2. Step 2: Convert to fraction form
    6,523.79/9,000.59 = 3,870.77/x
  3. Step 3: Cross multiply
    6,523.79x = 9,000.59 × 3,870.77
  4. Step 4: Simplify right side
    6,523.79x = 34,839,149.40
  5. Step 5: Solve for x
    x = 34,839,149.40/6,523.79
  6. Step 6: Final answer
    x = 5,340.33

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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.