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Finding the Fourth Proportional to 6,421.95, 8,851.68 and 4,296.71

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Solution

The fourth proportional to 6,421.95, 8,851.68 and 4,296.71 is: 5,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.95 : 8,851.68 = 4,296.71 : x
  2. Step 2: Convert to fraction form
    6,421.95/8,851.68 = 4,296.71/x
  3. Step 3: Cross multiply
    6,421.95x = 8,851.68 × 4,296.71
  4. Step 4: Simplify right side
    6,421.95x = 38,033,124.10
  5. Step 5: Solve for x
    x = 38,033,124.10/6,421.95
  6. Step 6: Final answer
    x = 5,922.36

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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.