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Finding the Fourth Proportional to 5,235.03, 7,852.61 and 1,339.43

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Solution

The fourth proportional to 5,235.03, 7,852.61 and 1,339.43 is: 2,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.03 : 7,852.61 = 1,339.43 : x
  2. Step 2: Convert to fraction form
    5,235.03/7,852.61 = 1,339.43/x
  3. Step 3: Cross multiply
    5,235.03x = 7,852.61 × 1,339.43
  4. Step 4: Simplify right side
    5,235.03x = 10,517,985.50
  5. Step 5: Solve for x
    x = 10,517,985.50/5,235.03
  6. Step 6: Final answer
    x = 2,009.15

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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.