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Finding the Fourth Proportional to 5,235.32, 7,852.80 and 1,339.76

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Solution

The fourth proportional to 5,235.32, 7,852.80 and 1,339.76 is: 2,009.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.32 : 7,852.80 = 1,339.76 : x
  2. Step 2: Convert to fraction form
    5,235.32/7,852.80 = 1,339.76/x
  3. Step 3: Cross multiply
    5,235.32x = 7,852.80 × 1,339.76
  4. Step 4: Simplify right side
    5,235.32x = 10,520,867.33
  5. Step 5: Solve for x
    x = 10,520,867.33/5,235.32
  6. Step 6: Final answer
    x = 2,009.59

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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.