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Finding the Fourth Proportional to 5,199.86, 7,798.65 and 1,501.29

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Solution

The fourth proportional to 5,199.86, 7,798.65 and 1,501.29 is: 2,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.86 : 7,798.65 = 1,501.29 : x
  2. Step 2: Convert to fraction form
    5,199.86/7,798.65 = 1,501.29/x
  3. Step 3: Cross multiply
    5,199.86x = 7,798.65 × 1,501.29
  4. Step 4: Simplify right side
    5,199.86x = 11,708,029.63
  5. Step 5: Solve for x
    x = 11,708,029.63/5,199.86
  6. Step 6: Final answer
    x = 2,251.60

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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.