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Finding the Fourth Proportional to 3,335.52, 5,003.26 and 870.32

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Solution

The fourth proportional to 3,335.52, 5,003.26 and 870.32 is: 1,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.52 : 5,003.26 = 870.32 : x
  2. Step 2: Convert to fraction form
    3,335.52/5,003.26 = 870.32/x
  3. Step 3: Cross multiply
    3,335.52x = 5,003.26 × 870.32
  4. Step 4: Simplify right side
    3,335.52x = 4,354,437.24
  5. Step 5: Solve for x
    x = 4,354,437.24/3,335.52
  6. Step 6: Final answer
    x = 1,305.47

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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.