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Finding the Fourth Proportional to 4,510, 6,765.80 and 1,587.52

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Solution

The fourth proportional to 4,510, 6,765.80 and 1,587.52 is: 2,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510 : 6,765.80 = 1,587.52 : x
  2. Step 2: Convert to fraction form
    4,510/6,765.80 = 1,587.52/x
  3. Step 3: Cross multiply
    4,510x = 6,765.80 × 1,587.52
  4. Step 4: Simplify right side
    4,510x = 10,740,842.82
  5. Step 5: Solve for x
    x = 10,740,842.82/4,510
  6. Step 6: Final answer
    x = 2,381.56

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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.