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Finding the Fourth Proportional to 3,416.13, 5,123.88 and 950.76

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Solution

The fourth proportional to 3,416.13, 5,123.88 and 950.76 is: 1,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.13 : 5,123.88 = 950.76 : x
  2. Step 2: Convert to fraction form
    3,416.13/5,123.88 = 950.76/x
  3. Step 3: Cross multiply
    3,416.13x = 5,123.88 × 950.76
  4. Step 4: Simplify right side
    3,416.13x = 4,871,580.15
  5. Step 5: Solve for x
    x = 4,871,580.15/3,416.13
  6. Step 6: Final answer
    x = 1,426.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.