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Finding the Fourth Proportional to 3,965.66, 5,466.26 and 3,124.98

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Solution

The fourth proportional to 3,965.66, 5,466.26 and 3,124.98 is: 4,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.66 : 5,466.26 = 3,124.98 : x
  2. Step 2: Convert to fraction form
    3,965.66/5,466.26 = 3,124.98/x
  3. Step 3: Cross multiply
    3,965.66x = 5,466.26 × 3,124.98
  4. Step 4: Simplify right side
    3,965.66x = 17,081,937.55
  5. Step 5: Solve for x
    x = 17,081,937.55/3,965.66
  6. Step 6: Final answer
    x = 4,307.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.