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Finding the Fourth Proportional to 4,593.81, 6,904.64 and 3,039.12

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Solution

The fourth proportional to 4,593.81, 6,904.64 and 3,039.12 is: 4,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593.81 : 6,904.64 = 3,039.12 : x
  2. Step 2: Convert to fraction form
    4,593.81/6,904.64 = 3,039.12/x
  3. Step 3: Cross multiply
    4,593.81x = 6,904.64 × 3,039.12
  4. Step 4: Simplify right side
    4,593.81x = 20,984,037.11
  5. Step 5: Solve for x
    x = 20,984,037.11/4,593.81
  6. Step 6: Final answer
    x = 4,567.89

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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.