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Finding the Fourth Proportional to 3,798.08, 5,700.68 and 2,340.08

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Solution

The fourth proportional to 3,798.08, 5,700.68 and 2,340.08 is: 3,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.08 : 5,700.68 = 2,340.08 : x
  2. Step 2: Convert to fraction form
    3,798.08/5,700.68 = 2,340.08/x
  3. Step 3: Cross multiply
    3,798.08x = 5,700.68 × 2,340.08
  4. Step 4: Simplify right side
    3,798.08x = 13,340,047.25
  5. Step 5: Solve for x
    x = 13,340,047.25/3,798.08
  6. Step 6: Final answer
    x = 3,512.31

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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.