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Finding the Fourth Proportional to 3,066.93, 4,600.39 and 875.65

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Solution

The fourth proportional to 3,066.93, 4,600.39 and 875.65 is: 1,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.93 : 4,600.39 = 875.65 : x
  2. Step 2: Convert to fraction form
    3,066.93/4,600.39 = 875.65/x
  3. Step 3: Cross multiply
    3,066.93x = 4,600.39 × 875.65
  4. Step 4: Simplify right side
    3,066.93x = 4,028,350.11
  5. Step 5: Solve for x
    x = 4,028,350.11/3,066.93
  6. Step 6: Final answer
    x = 1,313.48

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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.