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Finding the Fourth Proportional to 3,512.58, 5,265.63 and 1,972.50

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Solution

The fourth proportional to 3,512.58, 5,265.63 and 1,972.50 is: 2,956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.58 : 5,265.63 = 1,972.50 : x
  2. Step 2: Convert to fraction form
    3,512.58/5,265.63 = 1,972.50/x
  3. Step 3: Cross multiply
    3,512.58x = 5,265.63 × 1,972.50
  4. Step 4: Simplify right side
    3,512.58x = 10,386,455.18
  5. Step 5: Solve for x
    x = 10,386,455.18/3,512.58
  6. Step 6: Final answer
    x = 2,956.93

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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.