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Finding the Fourth Proportional to 4,200.77, 6,296.76 and 1,567.22

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Solution

The fourth proportional to 4,200.77, 6,296.76 and 1,567.22 is: 2,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.77 : 6,296.76 = 1,567.22 : x
  2. Step 2: Convert to fraction form
    4,200.77/6,296.76 = 1,567.22/x
  3. Step 3: Cross multiply
    4,200.77x = 6,296.76 × 1,567.22
  4. Step 4: Simplify right side
    4,200.77x = 9,868,376.72
  5. Step 5: Solve for x
    x = 9,868,376.72/4,200.77
  6. Step 6: Final answer
    x = 2,349.18

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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.