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Finding the Fourth Proportional to 5,798.38, 8,695.75 and 1,901.88

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Solution

The fourth proportional to 5,798.38, 8,695.75 and 1,901.88 is: 2,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.38 : 8,695.75 = 1,901.88 : x
  2. Step 2: Convert to fraction form
    5,798.38/8,695.75 = 1,901.88/x
  3. Step 3: Cross multiply
    5,798.38x = 8,695.75 × 1,901.88
  4. Step 4: Simplify right side
    5,798.38x = 16,538,263.50
  5. Step 5: Solve for x
    x = 16,538,263.50/5,798.38
  6. Step 6: Final answer
    x = 2,852.22

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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.