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Finding the Fourth Proportional to 6,519.04, 9,780 and 3,595.84

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Solution

The fourth proportional to 6,519.04, 9,780 and 3,595.84 is: 5,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.04 : 9,780 = 3,595.84 : x
  2. Step 2: Convert to fraction form
    6,519.04/9,780 = 3,595.84/x
  3. Step 3: Cross multiply
    6,519.04x = 9,780 × 3,595.84
  4. Step 4: Simplify right side
    6,519.04x = 35,167,315.20
  5. Step 5: Solve for x
    x = 35,167,315.20/6,519.04
  6. Step 6: Final answer
    x = 5,394.55

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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.