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Finding the Fourth Proportional to 3,821.84, 5,275.08 and 2,330.58

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Solution

The fourth proportional to 3,821.84, 5,275.08 and 2,330.58 is: 3,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.84 : 5,275.08 = 2,330.58 : x
  2. Step 2: Convert to fraction form
    3,821.84/5,275.08 = 2,330.58/x
  3. Step 3: Cross multiply
    3,821.84x = 5,275.08 × 2,330.58
  4. Step 4: Simplify right side
    3,821.84x = 12,293,995.95
  5. Step 5: Solve for x
    x = 12,293,995.95/3,821.84
  6. Step 6: Final answer
    x = 3,216.77

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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.