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Finding the Fourth Proportional to 3,888.24, 5,364.08 and 2,471.17

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Solution

The fourth proportional to 3,888.24, 5,364.08 and 2,471.17 is: 3,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.24 : 5,364.08 = 2,471.17 : x
  2. Step 2: Convert to fraction form
    3,888.24/5,364.08 = 2,471.17/x
  3. Step 3: Cross multiply
    3,888.24x = 5,364.08 × 2,471.17
  4. Step 4: Simplify right side
    3,888.24x = 13,255,566.46
  5. Step 5: Solve for x
    x = 13,255,566.46/3,888.24
  6. Step 6: Final answer
    x = 3,409.14

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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.