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Finding the Fourth Proportional to 5,296.58, 7,944.65 and 1,598.71

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Solution

The fourth proportional to 5,296.58, 7,944.65 and 1,598.71 is: 2,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.58 : 7,944.65 = 1,598.71 : x
  2. Step 2: Convert to fraction form
    5,296.58/7,944.65 = 1,598.71/x
  3. Step 3: Cross multiply
    5,296.58x = 7,944.65 × 1,598.71
  4. Step 4: Simplify right side
    5,296.58x = 12,701,193.43
  5. Step 5: Solve for x
    x = 12,701,193.43/5,296.58
  6. Step 6: Final answer
    x = 2,398.00

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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.