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Finding the Fourth Proportional to 4,117, 5,682.90 and 2,461

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Solution

The fourth proportional to 4,117, 5,682.90 and 2,461 is: 3,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117 : 5,682.90 = 2,461 : x
  2. Step 2: Convert to fraction form
    4,117/5,682.90 = 2,461/x
  3. Step 3: Cross multiply
    4,117x = 5,682.90 × 2,461
  4. Step 4: Simplify right side
    4,117x = 13,985,616.90
  5. Step 5: Solve for x
    x = 13,985,616.90/4,117
  6. Step 6: Final answer
    x = 3,397.04

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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.