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Finding the Fourth Proportional to 4,710.54, 6,500.22 and 2,614.50

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Solution

The fourth proportional to 4,710.54, 6,500.22 and 2,614.50 is: 3,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.54 : 6,500.22 = 2,614.50 : x
  2. Step 2: Convert to fraction form
    4,710.54/6,500.22 = 2,614.50/x
  3. Step 3: Cross multiply
    4,710.54x = 6,500.22 × 2,614.50
  4. Step 4: Simplify right side
    4,710.54x = 16,994,825.19
  5. Step 5: Solve for x
    x = 16,994,825.19/4,710.54
  6. Step 6: Final answer
    x = 3,607.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.