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Finding the Fourth Proportional to 5,607.50, 8,415.30 and 2,144.76

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Solution

The fourth proportional to 5,607.50, 8,415.30 and 2,144.76 is: 3,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.50 : 8,415.30 = 2,144.76 : x
  2. Step 2: Convert to fraction form
    5,607.50/8,415.30 = 2,144.76/x
  3. Step 3: Cross multiply
    5,607.50x = 8,415.30 × 2,144.76
  4. Step 4: Simplify right side
    5,607.50x = 18,048,798.83
  5. Step 5: Solve for x
    x = 18,048,798.83/5,607.50
  6. Step 6: Final answer
    x = 3,218.69

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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.