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Finding the Fourth Proportional to 4,909.66, 6,774.17 and 2,784.72

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Solution

The fourth proportional to 4,909.66, 6,774.17 and 2,784.72 is: 3,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.66 : 6,774.17 = 2,784.72 : x
  2. Step 2: Convert to fraction form
    4,909.66/6,774.17 = 2,784.72/x
  3. Step 3: Cross multiply
    4,909.66x = 6,774.17 × 2,784.72
  4. Step 4: Simplify right side
    4,909.66x = 18,864,173.64
  5. Step 5: Solve for x
    x = 18,864,173.64/4,909.66
  6. Step 6: Final answer
    x = 3,842.26

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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.