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Finding the Fourth Proportional to 4,972.80, 7,444.80 and 4,713.60

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Solution

The fourth proportional to 4,972.80, 7,444.80 and 4,713.60 is: 7,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.80 : 7,444.80 = 4,713.60 : x
  2. Step 2: Convert to fraction form
    4,972.80/7,444.80 = 4,713.60/x
  3. Step 3: Cross multiply
    4,972.80x = 7,444.80 × 4,713.60
  4. Step 4: Simplify right side
    4,972.80x = 35,091,809.28
  5. Step 5: Solve for x
    x = 35,091,809.28/4,972.80
  6. Step 6: Final answer
    x = 7,056.75

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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.