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Finding the Fourth Proportional to 3,039.53, 4,558.48 and 847.87

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Solution

The fourth proportional to 3,039.53, 4,558.48 and 847.87 is: 1,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.53 : 4,558.48 = 847.87 : x
  2. Step 2: Convert to fraction form
    3,039.53/4,558.48 = 847.87/x
  3. Step 3: Cross multiply
    3,039.53x = 4,558.48 × 847.87
  4. Step 4: Simplify right side
    3,039.53x = 3,864,984.92
  5. Step 5: Solve for x
    x = 3,864,984.92/3,039.53
  6. Step 6: Final answer
    x = 1,271.58

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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.