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Finding the Fourth Proportional to 3,498.29, 4,827.63 and 1,926.38

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Solution

The fourth proportional to 3,498.29, 4,827.63 and 1,926.38 is: 2,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.29 : 4,827.63 = 1,926.38 : x
  2. Step 2: Convert to fraction form
    3,498.29/4,827.63 = 1,926.38/x
  3. Step 3: Cross multiply
    3,498.29x = 4,827.63 × 1,926.38
  4. Step 4: Simplify right side
    3,498.29x = 9,299,840.25
  5. Step 5: Solve for x
    x = 9,299,840.25/3,498.29
  6. Step 6: Final answer
    x = 2,658.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.