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Finding the Fourth Proportional to 4,970.72, 7,454.04 and 2,047.04

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Solution

The fourth proportional to 4,970.72, 7,454.04 and 2,047.04 is: 3,069.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.72 : 7,454.04 = 2,047.04 : x
  2. Step 2: Convert to fraction form
    4,970.72/7,454.04 = 2,047.04/x
  3. Step 3: Cross multiply
    4,970.72x = 7,454.04 × 2,047.04
  4. Step 4: Simplify right side
    4,970.72x = 15,258,718.04
  5. Step 5: Solve for x
    x = 15,258,718.04/4,970.72
  6. Step 6: Final answer
    x = 3,069.72

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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.