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Finding the Fourth Proportional to 3,564.84, 5,348.34 and 2,100.90

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Solution

The fourth proportional to 3,564.84, 5,348.34 and 2,100.90 is: 3,151.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.84 : 5,348.34 = 2,100.90 : x
  2. Step 2: Convert to fraction form
    3,564.84/5,348.34 = 2,100.90/x
  3. Step 3: Cross multiply
    3,564.84x = 5,348.34 × 2,100.90
  4. Step 4: Simplify right side
    3,564.84x = 11,236,327.51
  5. Step 5: Solve for x
    x = 11,236,327.51/3,564.84
  6. Step 6: Final answer
    x = 3,151.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.