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Finding the Fourth Proportional to 3,598.79, 4,965.81 and 2,026.91

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Solution

The fourth proportional to 3,598.79, 4,965.81 and 2,026.91 is: 2,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.79 : 4,965.81 = 2,026.91 : x
  2. Step 2: Convert to fraction form
    3,598.79/4,965.81 = 2,026.91/x
  3. Step 3: Cross multiply
    3,598.79x = 4,965.81 × 2,026.91
  4. Step 4: Simplify right side
    3,598.79x = 10,065,225.12
  5. Step 5: Solve for x
    x = 10,065,225.12/3,598.79
  6. Step 6: Final answer
    x = 2,796.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.