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Finding the Fourth Proportional to 5,798.01, 8,696.01 and 2,677.76

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Solution

The fourth proportional to 5,798.01, 8,696.01 and 2,677.76 is: 4,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.01 : 8,696.01 = 2,677.76 : x
  2. Step 2: Convert to fraction form
    5,798.01/8,696.01 = 2,677.76/x
  3. Step 3: Cross multiply
    5,798.01x = 8,696.01 × 2,677.76
  4. Step 4: Simplify right side
    5,798.01x = 23,285,784.26
  5. Step 5: Solve for x
    x = 23,285,784.26/5,798.01
  6. Step 6: Final answer
    x = 4,016.17

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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.