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Finding the Fourth Proportional to 4,476.71, 6,715.19 and 1,189.81

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Solution

The fourth proportional to 4,476.71, 6,715.19 and 1,189.81 is: 1,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.71 : 6,715.19 = 1,189.81 : x
  2. Step 2: Convert to fraction form
    4,476.71/6,715.19 = 1,189.81/x
  3. Step 3: Cross multiply
    4,476.71x = 6,715.19 × 1,189.81
  4. Step 4: Simplify right side
    4,476.71x = 7,989,777.48
  5. Step 5: Solve for x
    x = 7,989,777.48/4,476.71
  6. Step 6: Final answer
    x = 1,784.74

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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.