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Finding the Fourth Proportional to 5,197.89, 7,795.69 and 1,499.32

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Solution

The fourth proportional to 5,197.89, 7,795.69 and 1,499.32 is: 2,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.89 : 7,795.69 = 1,499.32 : x
  2. Step 2: Convert to fraction form
    5,197.89/7,795.69 = 1,499.32/x
  3. Step 3: Cross multiply
    5,197.89x = 7,795.69 × 1,499.32
  4. Step 4: Simplify right side
    5,197.89x = 11,688,196.08
  5. Step 5: Solve for x
    x = 11,688,196.08/5,197.89
  6. Step 6: Final answer
    x = 2,248.64

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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.