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Finding the Fourth Proportional to 3,438.94, 4,746.82 and 2,196.94

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Solution

The fourth proportional to 3,438.94, 4,746.82 and 2,196.94 is: 3,032.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.94 : 4,746.82 = 2,196.94 : x
  2. Step 2: Convert to fraction form
    3,438.94/4,746.82 = 2,196.94/x
  3. Step 3: Cross multiply
    3,438.94x = 4,746.82 × 2,196.94
  4. Step 4: Simplify right side
    3,438.94x = 10,428,461.37
  5. Step 5: Solve for x
    x = 10,428,461.37/3,438.94
  6. Step 6: Final answer
    x = 3,032.47

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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.