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Finding the Fourth Proportional to 4,324, 5,967.12 and 2,461

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Solution

The fourth proportional to 4,324, 5,967.12 and 2,461 is: 3,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324 : 5,967.12 = 2,461 : x
  2. Step 2: Convert to fraction form
    4,324/5,967.12 = 2,461/x
  3. Step 3: Cross multiply
    4,324x = 5,967.12 × 2,461
  4. Step 4: Simplify right side
    4,324x = 14,685,082.32
  5. Step 5: Solve for x
    x = 14,685,082.32/4,324
  6. Step 6: Final answer
    x = 3,396.18

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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.