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Finding the Fourth Proportional to 5,767.16, 8,648.76 and 1,870.76

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Solution

The fourth proportional to 5,767.16, 8,648.76 and 1,870.76 is: 2,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.16 : 8,648.76 = 1,870.76 : x
  2. Step 2: Convert to fraction form
    5,767.16/8,648.76 = 1,870.76/x
  3. Step 3: Cross multiply
    5,767.16x = 8,648.76 × 1,870.76
  4. Step 4: Simplify right side
    5,767.16x = 16,179,754.26
  5. Step 5: Solve for x
    x = 16,179,754.26/5,767.16
  6. Step 6: Final answer
    x = 2,805.50

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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.