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Finding the Fourth Proportional to 4,506.34, 6,219.49 and 2,829.17

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Solution

The fourth proportional to 4,506.34, 6,219.49 and 2,829.17 is: 3,904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.34 : 6,219.49 = 2,829.17 : x
  2. Step 2: Convert to fraction form
    4,506.34/6,219.49 = 2,829.17/x
  3. Step 3: Cross multiply
    4,506.34x = 6,219.49 × 2,829.17
  4. Step 4: Simplify right side
    4,506.34x = 17,595,963.43
  5. Step 5: Solve for x
    x = 17,595,963.43/4,506.34
  6. Step 6: Final answer
    x = 3,904.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.