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Finding the Fourth Proportional to 6,547.92, 9,808.02 and 3,040.80

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Solution

The fourth proportional to 6,547.92, 9,808.02 and 3,040.80 is: 4,554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.92 : 9,808.02 = 3,040.80 : x
  2. Step 2: Convert to fraction form
    6,547.92/9,808.02 = 3,040.80/x
  3. Step 3: Cross multiply
    6,547.92x = 9,808.02 × 3,040.80
  4. Step 4: Simplify right side
    6,547.92x = 29,824,227.22
  5. Step 5: Solve for x
    x = 29,824,227.22/6,547.92
  6. Step 6: Final answer
    x = 4,554.76

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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.