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Finding the Fourth Proportional to 4,967.22, 6,854.94 and 2,977.39

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Solution

The fourth proportional to 4,967.22, 6,854.94 and 2,977.39 is: 4,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.22 : 6,854.94 = 2,977.39 : x
  2. Step 2: Convert to fraction form
    4,967.22/6,854.94 = 2,977.39/x
  3. Step 3: Cross multiply
    4,967.22x = 6,854.94 × 2,977.39
  4. Step 4: Simplify right side
    4,967.22x = 20,409,829.81
  5. Step 5: Solve for x
    x = 20,409,829.81/4,967.22
  6. Step 6: Final answer
    x = 4,108.90

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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.