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Finding the Fourth Proportional to 3,838.89, 5,298.27 and 2,347.68

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Solution

The fourth proportional to 3,838.89, 5,298.27 and 2,347.68 is: 3,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.89 : 5,298.27 = 2,347.68 : x
  2. Step 2: Convert to fraction form
    3,838.89/5,298.27 = 2,347.68/x
  3. Step 3: Cross multiply
    3,838.89x = 5,298.27 × 2,347.68
  4. Step 4: Simplify right side
    3,838.89x = 12,438,642.51
  5. Step 5: Solve for x
    x = 12,438,642.51/3,838.89
  6. Step 6: Final answer
    x = 3,240.17

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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.