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Finding the Fourth Proportional to 3,498.40, 4,827.84 and 1,926.56

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Solution

The fourth proportional to 3,498.40, 4,827.84 and 1,926.56 is: 2,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.40 : 4,827.84 = 1,926.56 : x
  2. Step 2: Convert to fraction form
    3,498.40/4,827.84 = 1,926.56/x
  3. Step 3: Cross multiply
    3,498.40x = 4,827.84 × 1,926.56
  4. Step 4: Simplify right side
    3,498.40x = 9,301,123.43
  5. Step 5: Solve for x
    x = 9,301,123.43/3,498.40
  6. Step 6: Final answer
    x = 2,658.68

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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.