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Finding the Fourth Proportional to 4,128.84, 6,193.71 and 1,318.34

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Solution

The fourth proportional to 4,128.84, 6,193.71 and 1,318.34 is: 1,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.84 : 6,193.71 = 1,318.34 : x
  2. Step 2: Convert to fraction form
    4,128.84/6,193.71 = 1,318.34/x
  3. Step 3: Cross multiply
    4,128.84x = 6,193.71 × 1,318.34
  4. Step 4: Simplify right side
    4,128.84x = 8,165,384.67
  5. Step 5: Solve for x
    x = 8,165,384.67/4,128.84
  6. Step 6: Final answer
    x = 1,977.65

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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.