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Finding the Fourth Proportional to 6,301.78, 8,698.06 and 3,784

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Solution

The fourth proportional to 6,301.78, 8,698.06 and 3,784 is: 5,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.78 : 8,698.06 = 3,784 : x
  2. Step 2: Convert to fraction form
    6,301.78/8,698.06 = 3,784/x
  3. Step 3: Cross multiply
    6,301.78x = 8,698.06 × 3,784
  4. Step 4: Simplify right side
    6,301.78x = 32,913,459.04
  5. Step 5: Solve for x
    x = 32,913,459.04/6,301.78
  6. Step 6: Final answer
    x = 5,222.88

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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.