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Finding the Fourth Proportional to 4,899.87, 7,349.00 and 1,613.00

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Solution

The fourth proportional to 4,899.87, 7,349.00 and 1,613.00 is: 2,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.87 : 7,349.00 = 1,613.00 : x
  2. Step 2: Convert to fraction form
    4,899.87/7,349.00 = 1,613.00/x
  3. Step 3: Cross multiply
    4,899.87x = 7,349.00 × 1,613.00
  4. Step 4: Simplify right side
    4,899.87x = 11,853,947.31
  5. Step 5: Solve for x
    x = 11,853,947.31/4,899.87
  6. Step 6: Final answer
    x = 2,419.24

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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.