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Finding the Fourth Proportional to 3,602.17, 4,968.99 and 2,109.80

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Solution

The fourth proportional to 3,602.17, 4,968.99 and 2,109.80 is: 2,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.17 : 4,968.99 = 2,109.80 : x
  2. Step 2: Convert to fraction form
    3,602.17/4,968.99 = 2,109.80/x
  3. Step 3: Cross multiply
    3,602.17x = 4,968.99 × 2,109.80
  4. Step 4: Simplify right side
    3,602.17x = 10,483,587.52
  5. Step 5: Solve for x
    x = 10,483,587.52/3,602.17
  6. Step 6: Final answer
    x = 2,910.35

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