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Finding the Fourth Proportional to 4,209.98, 6,307.98 and 2,561.52

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Solution

The fourth proportional to 4,209.98, 6,307.98 and 2,561.52 is: 3,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.98 : 6,307.98 = 2,561.52 : x
  2. Step 2: Convert to fraction form
    4,209.98/6,307.98 = 2,561.52/x
  3. Step 3: Cross multiply
    4,209.98x = 6,307.98 × 2,561.52
  4. Step 4: Simplify right side
    4,209.98x = 16,158,030.98
  5. Step 5: Solve for x
    x = 16,158,030.98/4,209.98
  6. Step 6: Final answer
    x = 3,838.03

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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.