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Finding the Fourth Proportional to 3,498.34, 4,827.71 and 1,904.98

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Solution

The fourth proportional to 3,498.34, 4,827.71 and 1,904.98 is: 2,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.34 : 4,827.71 = 1,904.98 : x
  2. Step 2: Convert to fraction form
    3,498.34/4,827.71 = 1,904.98/x
  3. Step 3: Cross multiply
    3,498.34x = 4,827.71 × 1,904.98
  4. Step 4: Simplify right side
    3,498.34x = 9,196,691.00
  5. Step 5: Solve for x
    x = 9,196,691.00/3,498.34
  6. Step 6: Final answer
    x = 2,628.87

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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.