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Finding the Fourth Proportional to 5,304.12, 7,319.58 and 2,946.24

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Solution

The fourth proportional to 5,304.12, 7,319.58 and 2,946.24 is: 4,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.12 : 7,319.58 = 2,946.24 : x
  2. Step 2: Convert to fraction form
    5,304.12/7,319.58 = 2,946.24/x
  3. Step 3: Cross multiply
    5,304.12x = 7,319.58 × 2,946.24
  4. Step 4: Simplify right side
    5,304.12x = 21,565,239.38
  5. Step 5: Solve for x
    x = 21,565,239.38/5,304.12
  6. Step 6: Final answer
    x = 4,065.75

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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.