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Finding the Fourth Proportional to 4,604, 6,888.72 and 2,864.48

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Solution

The fourth proportional to 4,604, 6,888.72 and 2,864.48 is: 4,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604 : 6,888.72 = 2,864.48 : x
  2. Step 2: Convert to fraction form
    4,604/6,888.72 = 2,864.48/x
  3. Step 3: Cross multiply
    4,604x = 6,888.72 × 2,864.48
  4. Step 4: Simplify right side
    4,604x = 19,732,600.67
  5. Step 5: Solve for x
    x = 19,732,600.67/4,604
  6. Step 6: Final answer
    x = 4,285.97

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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.