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Finding the Fourth Proportional to 4,434.81, 6,652.86 and 1,314.41

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Solution

The fourth proportional to 4,434.81, 6,652.86 and 1,314.41 is: 1,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434.81 : 6,652.86 = 1,314.41 : x
  2. Step 2: Convert to fraction form
    4,434.81/6,652.86 = 1,314.41/x
  3. Step 3: Cross multiply
    4,434.81x = 6,652.86 × 1,314.41
  4. Step 4: Simplify right side
    4,434.81x = 8,744,597.42
  5. Step 5: Solve for x
    x = 8,744,597.42/4,434.81
  6. Step 6: Final answer
    x = 1,971.81

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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.