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Finding the Fourth Proportional to 4,307.99, 6,461.52 and 2,222.59

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Solution

The fourth proportional to 4,307.99, 6,461.52 and 2,222.59 is: 3,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.99 : 6,461.52 = 2,222.59 : x
  2. Step 2: Convert to fraction form
    4,307.99/6,461.52 = 2,222.59/x
  3. Step 3: Cross multiply
    4,307.99x = 6,461.52 × 2,222.59
  4. Step 4: Simplify right side
    4,307.99x = 14,361,309.87
  5. Step 5: Solve for x
    x = 14,361,309.87/4,307.99
  6. Step 6: Final answer
    x = 3,333.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.