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Finding the Fourth Proportional to 5,235.52, 7,852.32 and 1,725.44

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Solution

The fourth proportional to 5,235.52, 7,852.32 and 1,725.44 is: 2,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.52 : 7,852.32 = 1,725.44 : x
  2. Step 2: Convert to fraction form
    5,235.52/7,852.32 = 1,725.44/x
  3. Step 3: Cross multiply
    5,235.52x = 7,852.32 × 1,725.44
  4. Step 4: Simplify right side
    5,235.52x = 13,548,707.02
  5. Step 5: Solve for x
    x = 13,548,707.02/5,235.52
  6. Step 6: Final answer
    x = 2,587.84

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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.