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Finding the Fourth Proportional to 5,570.65, 8,357.05 and 1,872.93

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Solution

The fourth proportional to 5,570.65, 8,357.05 and 1,872.93 is: 2,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.65 : 8,357.05 = 1,872.93 : x
  2. Step 2: Convert to fraction form
    5,570.65/8,357.05 = 1,872.93/x
  3. Step 3: Cross multiply
    5,570.65x = 8,357.05 × 1,872.93
  4. Step 4: Simplify right side
    5,570.65x = 15,652,169.66
  5. Step 5: Solve for x
    x = 15,652,169.66/5,570.65
  6. Step 6: Final answer
    x = 2,809.76

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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.