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Finding the Fourth Proportional to 3,586, 5,381.16 and 1,534

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Solution

The fourth proportional to 3,586, 5,381.16 and 1,534 is: 2,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586 : 5,381.16 = 1,534 : x
  2. Step 2: Convert to fraction form
    3,586/5,381.16 = 1,534/x
  3. Step 3: Cross multiply
    3,586x = 5,381.16 × 1,534
  4. Step 4: Simplify right side
    3,586x = 8,254,699.44
  5. Step 5: Solve for x
    x = 8,254,699.44/3,586
  6. Step 6: Final answer
    x = 2,301.92

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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.