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Finding the Fourth Proportional to 6,354.59, 8,768.93 and 3,733.01

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Solution

The fourth proportional to 6,354.59, 8,768.93 and 3,733.01 is: 5,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.59 : 8,768.93 = 3,733.01 : x
  2. Step 2: Convert to fraction form
    6,354.59/8,768.93 = 3,733.01/x
  3. Step 3: Cross multiply
    6,354.59x = 8,768.93 × 3,733.01
  4. Step 4: Simplify right side
    6,354.59x = 32,734,503.38
  5. Step 5: Solve for x
    x = 32,734,503.38/6,354.59
  6. Step 6: Final answer
    x = 5,151.32

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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.