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Finding the Fourth Proportional to 5,642.46, 8,479.01 and 3,011.80

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Solution

The fourth proportional to 5,642.46, 8,479.01 and 3,011.80 is: 4,525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.46 : 8,479.01 = 3,011.80 : x
  2. Step 2: Convert to fraction form
    5,642.46/8,479.01 = 3,011.80/x
  3. Step 3: Cross multiply
    5,642.46x = 8,479.01 × 3,011.80
  4. Step 4: Simplify right side
    5,642.46x = 25,537,068.65
  5. Step 5: Solve for x
    x = 25,537,068.65/5,642.46
  6. Step 6: Final answer
    x = 4,525.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.