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Finding the Fourth Proportional to 3,536.48, 5,302.56 and 1,586

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Solution

The fourth proportional to 3,536.48, 5,302.56 and 1,586 is: 2,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.48 : 5,302.56 = 1,586 : x
  2. Step 2: Convert to fraction form
    3,536.48/5,302.56 = 1,586/x
  3. Step 3: Cross multiply
    3,536.48x = 5,302.56 × 1,586
  4. Step 4: Simplify right side
    3,536.48x = 8,409,860.16
  5. Step 5: Solve for x
    x = 8,409,860.16/3,536.48
  6. Step 6: Final answer
    x = 2,378.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.