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Finding the Fourth Proportional to 3,335.49, 5,002.74 and 870.48

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Solution

The fourth proportional to 3,335.49, 5,002.74 and 870.48 is: 1,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.49 : 5,002.74 = 870.48 : x
  2. Step 2: Convert to fraction form
    3,335.49/5,002.74 = 870.48/x
  3. Step 3: Cross multiply
    3,335.49x = 5,002.74 × 870.48
  4. Step 4: Simplify right side
    3,335.49x = 4,354,785.12
  5. Step 5: Solve for x
    x = 4,354,785.12/3,335.49
  6. Step 6: Final answer
    x = 1,305.59

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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.