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Finding the Fourth Proportional to 4,047.84, 6,071.88 and 3,272.40

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Solution

The fourth proportional to 4,047.84, 6,071.88 and 3,272.40 is: 4,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.84 : 6,071.88 = 3,272.40 : x
  2. Step 2: Convert to fraction form
    4,047.84/6,071.88 = 3,272.40/x
  3. Step 3: Cross multiply
    4,047.84x = 6,071.88 × 3,272.40
  4. Step 4: Simplify right side
    4,047.84x = 19,869,620.11
  5. Step 5: Solve for x
    x = 19,869,620.11/4,047.84
  6. Step 6: Final answer
    x = 4,908.70

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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.