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Finding the Fourth Proportional to 4,710.54, 7,070.76 and 2,247.42

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Solution

The fourth proportional to 4,710.54, 7,070.76 and 2,247.42 is: 3,373.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.54 : 7,070.76 = 2,247.42 : x
  2. Step 2: Convert to fraction form
    4,710.54/7,070.76 = 2,247.42/x
  3. Step 3: Cross multiply
    4,710.54x = 7,070.76 × 2,247.42
  4. Step 4: Simplify right side
    4,710.54x = 15,890,967.44
  5. Step 5: Solve for x
    x = 15,890,967.44/4,710.54
  6. Step 6: Final answer
    x = 3,373.49

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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.