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Finding the Fourth Proportional to 3,369.46, 5,054.18 and 870.65

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Solution

The fourth proportional to 3,369.46, 5,054.18 and 870.65 is: 1,305.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.46 : 5,054.18 = 870.65 : x
  2. Step 2: Convert to fraction form
    3,369.46/5,054.18 = 870.65/x
  3. Step 3: Cross multiply
    3,369.46x = 5,054.18 × 870.65
  4. Step 4: Simplify right side
    3,369.46x = 4,400,421.82
  5. Step 5: Solve for x
    x = 4,400,421.82/3,369.46
  6. Step 6: Final answer
    x = 1,305.97

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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.