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Finding the Fourth Proportional to 3,490.98, 5,261.58 and 3,009.84

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Solution

The fourth proportional to 3,490.98, 5,261.58 and 3,009.84 is: 4,536.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.98 : 5,261.58 = 3,009.84 : x
  2. Step 2: Convert to fraction form
    3,490.98/5,261.58 = 3,009.84/x
  3. Step 3: Cross multiply
    3,490.98x = 5,261.58 × 3,009.84
  4. Step 4: Simplify right side
    3,490.98x = 15,836,513.95
  5. Step 5: Solve for x
    x = 15,836,513.95/3,490.98
  6. Step 6: Final answer
    x = 4,536.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.