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Finding the Fourth Proportional to 5,616.84, 8,425.47 and 2,106.49

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Solution

The fourth proportional to 5,616.84, 8,425.47 and 2,106.49 is: 3,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.84 : 8,425.47 = 2,106.49 : x
  2. Step 2: Convert to fraction form
    5,616.84/8,425.47 = 2,106.49/x
  3. Step 3: Cross multiply
    5,616.84x = 8,425.47 × 2,106.49
  4. Step 4: Simplify right side
    5,616.84x = 17,748,168.30
  5. Step 5: Solve for x
    x = 17,748,168.30/5,616.84
  6. Step 6: Final answer
    x = 3,159.81

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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.