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Finding the Fourth Proportional to 3,335.27, 5,002.99 and 870.03

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Solution

The fourth proportional to 3,335.27, 5,002.99 and 870.03 is: 1,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.27 : 5,002.99 = 870.03 : x
  2. Step 2: Convert to fraction form
    3,335.27/5,002.99 = 870.03/x
  3. Step 3: Cross multiply
    3,335.27x = 5,002.99 × 870.03
  4. Step 4: Simplify right side
    3,335.27x = 4,352,749.21
  5. Step 5: Solve for x
    x = 4,352,749.21/3,335.27
  6. Step 6: Final answer
    x = 1,305.07

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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.