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Finding the Fourth Proportional to 5,661.92, 7,814.40 and 3,304.06

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Solution

The fourth proportional to 5,661.92, 7,814.40 and 3,304.06 is: 4,560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.92 : 7,814.40 = 3,304.06 : x
  2. Step 2: Convert to fraction form
    5,661.92/7,814.40 = 3,304.06/x
  3. Step 3: Cross multiply
    5,661.92x = 7,814.40 × 3,304.06
  4. Step 4: Simplify right side
    5,661.92x = 25,819,246.46
  5. Step 5: Solve for x
    x = 25,819,246.46/5,661.92
  6. Step 6: Final answer
    x = 4,560.16

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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.