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Finding the Fourth Proportional to 3,801.49, 5,702.30 and 2,047.93

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Solution

The fourth proportional to 3,801.49, 5,702.30 and 2,047.93 is: 3,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.49 : 5,702.30 = 2,047.93 : x
  2. Step 2: Convert to fraction form
    3,801.49/5,702.30 = 2,047.93/x
  3. Step 3: Cross multiply
    3,801.49x = 5,702.30 × 2,047.93
  4. Step 4: Simplify right side
    3,801.49x = 11,677,911.24
  5. Step 5: Solve for x
    x = 11,677,911.24/3,801.49
  6. Step 6: Final answer
    x = 3,071.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.