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Finding the Fourth Proportional to 5,612.32, 8,409.84 and 3,556

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Solution

The fourth proportional to 5,612.32, 8,409.84 and 3,556 is: 5,328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.32 : 8,409.84 = 3,556 : x
  2. Step 2: Convert to fraction form
    5,612.32/8,409.84 = 3,556/x
  3. Step 3: Cross multiply
    5,612.32x = 8,409.84 × 3,556
  4. Step 4: Simplify right side
    5,612.32x = 29,905,391.04
  5. Step 5: Solve for x
    x = 29,905,391.04/5,612.32
  6. Step 6: Final answer
    x = 5,328.53

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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.