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Finding the Fourth Proportional to 4,338.84, 6,505.86 and 1,871.64

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Solution

The fourth proportional to 4,338.84, 6,505.86 and 1,871.64 is: 2,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.84 : 6,505.86 = 1,871.64 : x
  2. Step 2: Convert to fraction form
    4,338.84/6,505.86 = 1,871.64/x
  3. Step 3: Cross multiply
    4,338.84x = 6,505.86 × 1,871.64
  4. Step 4: Simplify right side
    4,338.84x = 12,176,627.81
  5. Step 5: Solve for x
    x = 12,176,627.81/4,338.84
  6. Step 6: Final answer
    x = 2,806.42

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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.