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Finding the Fourth Proportional to 3,467.99, 5,201.99 and 870.93

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Solution

The fourth proportional to 3,467.99, 5,201.99 and 870.93 is: 1,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.99 : 5,201.99 = 870.93 : x
  2. Step 2: Convert to fraction form
    3,467.99/5,201.99 = 870.93/x
  3. Step 3: Cross multiply
    3,467.99x = 5,201.99 × 870.93
  4. Step 4: Simplify right side
    3,467.99x = 4,530,569.15
  5. Step 5: Solve for x
    x = 4,530,569.15/3,467.99
  6. Step 6: Final answer
    x = 1,306.40

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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.