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Finding the Fourth Proportional to 6,429.22, 8,866.38 and 4,937.20

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Solution

The fourth proportional to 6,429.22, 8,866.38 and 4,937.20 is: 6,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.22 : 8,866.38 = 4,937.20 : x
  2. Step 2: Convert to fraction form
    6,429.22/8,866.38 = 4,937.20/x
  3. Step 3: Cross multiply
    6,429.22x = 8,866.38 × 4,937.20
  4. Step 4: Simplify right side
    6,429.22x = 43,775,091.34
  5. Step 5: Solve for x
    x = 43,775,091.34/6,429.22
  6. Step 6: Final answer
    x = 6,808.77

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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.