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Finding the Fourth Proportional to 6,085.35, 8,398.65 and 3,433

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Solution

The fourth proportional to 6,085.35, 8,398.65 and 3,433 is: 4,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.35 : 8,398.65 = 3,433 : x
  2. Step 2: Convert to fraction form
    6,085.35/8,398.65 = 3,433/x
  3. Step 3: Cross multiply
    6,085.35x = 8,398.65 × 3,433
  4. Step 4: Simplify right side
    6,085.35x = 28,832,565.45
  5. Step 5: Solve for x
    x = 28,832,565.45/6,085.35
  6. Step 6: Final answer
    x = 4,738.03

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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.