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Finding the Fourth Proportional to 4,756.51, 6,563.22 and 2,986.86

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Solution

The fourth proportional to 4,756.51, 6,563.22 and 2,986.86 is: 4,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.51 : 6,563.22 = 2,986.86 : x
  2. Step 2: Convert to fraction form
    4,756.51/6,563.22 = 2,986.86/x
  3. Step 3: Cross multiply
    4,756.51x = 6,563.22 × 2,986.86
  4. Step 4: Simplify right side
    4,756.51x = 19,603,432.70
  5. Step 5: Solve for x
    x = 19,603,432.70/4,756.51
  6. Step 6: Final answer
    x = 4,121.39

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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.