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Finding the Fourth Proportional to 3,498.46, 4,828.11 and 1,926.55

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Solution

The fourth proportional to 3,498.46, 4,828.11 and 1,926.55 is: 2,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.46 : 4,828.11 = 1,926.55 : x
  2. Step 2: Convert to fraction form
    3,498.46/4,828.11 = 1,926.55/x
  3. Step 3: Cross multiply
    3,498.46x = 4,828.11 × 1,926.55
  4. Step 4: Simplify right side
    3,498.46x = 9,301,595.32
  5. Step 5: Solve for x
    x = 9,301,595.32/3,498.46
  6. Step 6: Final answer
    x = 2,658.77

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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.