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Finding the Fourth Proportional to 5,077.94, 7,617.07 and 3,024.50

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Solution

The fourth proportional to 5,077.94, 7,617.07 and 3,024.50 is: 4,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.94 : 7,617.07 = 3,024.50 : x
  2. Step 2: Convert to fraction form
    5,077.94/7,617.07 = 3,024.50/x
  3. Step 3: Cross multiply
    5,077.94x = 7,617.07 × 3,024.50
  4. Step 4: Simplify right side
    5,077.94x = 23,037,828.22
  5. Step 5: Solve for x
    x = 23,037,828.22/5,077.94
  6. Step 6: Final answer
    x = 4,536.85

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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.