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Finding the Fourth Proportional to 5,199.63, 7,798.50 and 1,500.93

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Solution

The fourth proportional to 5,199.63, 7,798.50 and 1,500.93 is: 2,251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.63 : 7,798.50 = 1,500.93 : x
  2. Step 2: Convert to fraction form
    5,199.63/7,798.50 = 1,500.93/x
  3. Step 3: Cross multiply
    5,199.63x = 7,798.50 × 1,500.93
  4. Step 4: Simplify right side
    5,199.63x = 11,705,002.61
  5. Step 5: Solve for x
    x = 11,705,002.61/5,199.63
  6. Step 6: Final answer
    x = 2,251.12

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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.