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Finding the Fourth Proportional to 4,950.42, 6,832.18 and 2,854.50

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Solution

The fourth proportional to 4,950.42, 6,832.18 and 2,854.50 is: 3,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.42 : 6,832.18 = 2,854.50 : x
  2. Step 2: Convert to fraction form
    4,950.42/6,832.18 = 2,854.50/x
  3. Step 3: Cross multiply
    4,950.42x = 6,832.18 × 2,854.50
  4. Step 4: Simplify right side
    4,950.42x = 19,502,457.81
  5. Step 5: Solve for x
    x = 19,502,457.81/4,950.42
  6. Step 6: Final answer
    x = 3,939.56

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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.