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Finding the Fourth Proportional to 5,300.80, 7,315.68 and 3,206.08

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Solution

The fourth proportional to 5,300.80, 7,315.68 and 3,206.08 is: 4,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.80 : 7,315.68 = 3,206.08 : x
  2. Step 2: Convert to fraction form
    5,300.80/7,315.68 = 3,206.08/x
  3. Step 3: Cross multiply
    5,300.80x = 7,315.68 × 3,206.08
  4. Step 4: Simplify right side
    5,300.80x = 23,454,655.33
  5. Step 5: Solve for x
    x = 23,454,655.33/5,300.80
  6. Step 6: Final answer
    x = 4,424.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.