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Finding the Fourth Proportional to 4,909.48, 6,773.92 and 2,784.53

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Solution

The fourth proportional to 4,909.48, 6,773.92 and 2,784.53 is: 3,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.48 : 6,773.92 = 2,784.53 : x
  2. Step 2: Convert to fraction form
    4,909.48/6,773.92 = 2,784.53/x
  3. Step 3: Cross multiply
    4,909.48x = 6,773.92 × 2,784.53
  4. Step 4: Simplify right side
    4,909.48x = 18,862,193.43
  5. Step 5: Solve for x
    x = 18,862,193.43/4,909.48
  6. Step 6: Final answer
    x = 3,842.00

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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.