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Finding the Fourth Proportional to 4,113, 5,676.42 and 2,457

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Solution

The fourth proportional to 4,113, 5,676.42 and 2,457 is: 3,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113 : 5,676.42 = 2,457 : x
  2. Step 2: Convert to fraction form
    4,113/5,676.42 = 2,457/x
  3. Step 3: Cross multiply
    4,113x = 5,676.42 × 2,457
  4. Step 4: Simplify right side
    4,113x = 13,946,963.94
  5. Step 5: Solve for x
    x = 13,946,963.94/4,113
  6. Step 6: Final answer
    x = 3,390.95

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Why These Related Problems?

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