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Finding the Fourth Proportional to 4,689.57, 7,035.30 and 2,092.50

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Solution

The fourth proportional to 4,689.57, 7,035.30 and 2,092.50 is: 3,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.57 : 7,035.30 = 2,092.50 : x
  2. Step 2: Convert to fraction form
    4,689.57/7,035.30 = 2,092.50/x
  3. Step 3: Cross multiply
    4,689.57x = 7,035.30 × 2,092.50
  4. Step 4: Simplify right side
    4,689.57x = 14,721,365.25
  5. Step 5: Solve for x
    x = 14,721,365.25/4,689.57
  6. Step 6: Final answer
    x = 3,139.17

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Why These Related Problems?

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