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Finding the Fourth Proportional to 4,224.72, 6,307.44 and 3,810

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Solution

The fourth proportional to 4,224.72, 6,307.44 and 3,810 is: 5,688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.72 : 6,307.44 = 3,810 : x
  2. Step 2: Convert to fraction form
    4,224.72/6,307.44 = 3,810/x
  3. Step 3: Cross multiply
    4,224.72x = 6,307.44 × 3,810
  4. Step 4: Simplify right side
    4,224.72x = 24,031,346.40
  5. Step 5: Solve for x
    x = 24,031,346.40/4,224.72
  6. Step 6: Final answer
    x = 5,688.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.