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Finding the Fourth Proportional to 4,746.64, 7,121.14 and 1,972.48

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Solution

The fourth proportional to 4,746.64, 7,121.14 and 1,972.48 is: 2,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.64 : 7,121.14 = 1,972.48 : x
  2. Step 2: Convert to fraction form
    4,746.64/7,121.14 = 1,972.48/x
  3. Step 3: Cross multiply
    4,746.64x = 7,121.14 × 1,972.48
  4. Step 4: Simplify right side
    4,746.64x = 14,046,306.23
  5. Step 5: Solve for x
    x = 14,046,306.23/4,746.64
  6. Step 6: Final answer
    x = 2,959.21

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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.