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Finding the Fourth Proportional to 3,886.95, 5,365.95 and 2,472.06

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Solution

The fourth proportional to 3,886.95, 5,365.95 and 2,472.06 is: 3,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.95 : 5,365.95 = 2,472.06 : x
  2. Step 2: Convert to fraction form
    3,886.95/5,365.95 = 2,472.06/x
  3. Step 3: Cross multiply
    3,886.95x = 5,365.95 × 2,472.06
  4. Step 4: Simplify right side
    3,886.95x = 13,264,950.36
  5. Step 5: Solve for x
    x = 13,264,950.36/3,886.95
  6. Step 6: Final answer
    x = 3,412.69

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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.