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Finding the Fourth Proportional to 4,304.16, 5,942.16 and 4,040.64

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Solution

The fourth proportional to 4,304.16, 5,942.16 and 4,040.64 is: 5,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.16 : 5,942.16 = 4,040.64 : x
  2. Step 2: Convert to fraction form
    4,304.16/5,942.16 = 4,040.64/x
  3. Step 3: Cross multiply
    4,304.16x = 5,942.16 × 4,040.64
  4. Step 4: Simplify right side
    4,304.16x = 24,010,129.38
  5. Step 5: Solve for x
    x = 24,010,129.38/4,304.16
  6. Step 6: Final answer
    x = 5,578.35

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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.