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Finding the Fourth Proportional to 3,602.70, 4,972.95 and 2,110.68

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Solution

The fourth proportional to 3,602.70, 4,972.95 and 2,110.68 is: 2,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.70 : 4,972.95 = 2,110.68 : x
  2. Step 2: Convert to fraction form
    3,602.70/4,972.95 = 2,110.68/x
  3. Step 3: Cross multiply
    3,602.70x = 4,972.95 × 2,110.68
  4. Step 4: Simplify right side
    3,602.70x = 10,496,306.11
  5. Step 5: Solve for x
    x = 10,496,306.11/3,602.70
  6. Step 6: Final answer
    x = 2,913.46

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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.