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Finding the Fourth Proportional to 4,274.59, 6,406.84 and 1,931.85

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Solution

The fourth proportional to 4,274.59, 6,406.84 and 1,931.85 is: 2,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.59 : 6,406.84 = 1,931.85 : x
  2. Step 2: Convert to fraction form
    4,274.59/6,406.84 = 1,931.85/x
  3. Step 3: Cross multiply
    4,274.59x = 6,406.84 × 1,931.85
  4. Step 4: Simplify right side
    4,274.59x = 12,377,053.85
  5. Step 5: Solve for x
    x = 12,377,053.85/4,274.59
  6. Step 6: Final answer
    x = 2,895.49

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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.