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Finding the Fourth Proportional to 5,719.98, 7,895.98 and 3,482.66

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Solution

The fourth proportional to 5,719.98, 7,895.98 and 3,482.66 is: 4,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.98 : 7,895.98 = 3,482.66 : x
  2. Step 2: Convert to fraction form
    5,719.98/7,895.98 = 3,482.66/x
  3. Step 3: Cross multiply
    5,719.98x = 7,895.98 × 3,482.66
  4. Step 4: Simplify right side
    5,719.98x = 27,499,037.80
  5. Step 5: Solve for x
    x = 27,499,037.80/5,719.98
  6. Step 6: Final answer
    x = 4,807.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.