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Finding the Fourth Proportional to 4,565.88, 6,848.64 and 3,175.12

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Solution

The fourth proportional to 4,565.88, 6,848.64 and 3,175.12 is: 4,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.88 : 6,848.64 = 3,175.12 : x
  2. Step 2: Convert to fraction form
    4,565.88/6,848.64 = 3,175.12/x
  3. Step 3: Cross multiply
    4,565.88x = 6,848.64 × 3,175.12
  4. Step 4: Simplify right side
    4,565.88x = 21,745,253.84
  5. Step 5: Solve for x
    x = 21,745,253.84/4,565.88
  6. Step 6: Final answer
    x = 4,762.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.