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Finding the Fourth Proportional to 5,584.65, 8,377.00 and 1,886.91

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Solution

The fourth proportional to 5,584.65, 8,377.00 and 1,886.91 is: 2,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.65 : 8,377.00 = 1,886.91 : x
  2. Step 2: Convert to fraction form
    5,584.65/8,377.00 = 1,886.91/x
  3. Step 3: Cross multiply
    5,584.65x = 8,377.00 × 1,886.91
  4. Step 4: Simplify right side
    5,584.65x = 15,806,666.67
  5. Step 5: Solve for x
    x = 15,806,666.67/5,584.65
  6. Step 6: Final answer
    x = 2,830.38

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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.