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Finding the Fourth Proportional to 3,415.71, 5,123.60 and 950.72

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Solution

The fourth proportional to 3,415.71, 5,123.60 and 950.72 is: 1,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.71 : 5,123.60 = 950.72 : x
  2. Step 2: Convert to fraction form
    3,415.71/5,123.60 = 950.72/x
  3. Step 3: Cross multiply
    3,415.71x = 5,123.60 × 950.72
  4. Step 4: Simplify right side
    3,415.71x = 4,871,085.75
  5. Step 5: Solve for x
    x = 4,871,085.75/3,415.71
  6. Step 6: Final answer
    x = 1,426.08

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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.