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Finding the Fourth Proportional to 5,765.52, 7,956.36 and 3,407.52

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Solution

The fourth proportional to 5,765.52, 7,956.36 and 3,407.52 is: 4,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.52 : 7,956.36 = 3,407.52 : x
  2. Step 2: Convert to fraction form
    5,765.52/7,956.36 = 3,407.52/x
  3. Step 3: Cross multiply
    5,765.52x = 7,956.36 × 3,407.52
  4. Step 4: Simplify right side
    5,765.52x = 27,111,455.83
  5. Step 5: Solve for x
    x = 27,111,455.83/5,765.52
  6. Step 6: Final answer
    x = 4,702.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.