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Finding the Fourth Proportional to 4,937.64, 6,808.74 and 3,071.40

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Solution

The fourth proportional to 4,937.64, 6,808.74 and 3,071.40 is: 4,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.64 : 6,808.74 = 3,071.40 : x
  2. Step 2: Convert to fraction form
    4,937.64/6,808.74 = 3,071.40/x
  3. Step 3: Cross multiply
    4,937.64x = 6,808.74 × 3,071.40
  4. Step 4: Simplify right side
    4,937.64x = 20,912,364.04
  5. Step 5: Solve for x
    x = 20,912,364.04/4,937.64
  6. Step 6: Final answer
    x = 4,235.30

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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.