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Finding the Fourth Proportional to 3,967.16, 5,950.50 and 1,045.46

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Solution

The fourth proportional to 3,967.16, 5,950.50 and 1,045.46 is: 1,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.16 : 5,950.50 = 1,045.46 : x
  2. Step 2: Convert to fraction form
    3,967.16/5,950.50 = 1,045.46/x
  3. Step 3: Cross multiply
    3,967.16x = 5,950.50 × 1,045.46
  4. Step 4: Simplify right side
    3,967.16x = 6,221,009.73
  5. Step 5: Solve for x
    x = 6,221,009.73/3,967.16
  6. Step 6: Final answer
    x = 1,568.13

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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.