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Finding the Fourth Proportional to 5,562.54, 7,678.02 and 3,206.28

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Solution

The fourth proportional to 5,562.54, 7,678.02 and 3,206.28 is: 4,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.54 : 7,678.02 = 3,206.28 : x
  2. Step 2: Convert to fraction form
    5,562.54/7,678.02 = 3,206.28/x
  3. Step 3: Cross multiply
    5,562.54x = 7,678.02 × 3,206.28
  4. Step 4: Simplify right side
    5,562.54x = 24,617,881.97
  5. Step 5: Solve for x
    x = 24,617,881.97/5,562.54
  6. Step 6: Final answer
    x = 4,425.65

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1.5x scale

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.