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Finding the Fourth Proportional to 5,666.97, 8,498.95 and 2,545.23

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Solution

The fourth proportional to 5,666.97, 8,498.95 and 2,545.23 is: 3,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.97 : 8,498.95 = 2,545.23 : x
  2. Step 2: Convert to fraction form
    5,666.97/8,498.95 = 2,545.23/x
  3. Step 3: Cross multiply
    5,666.97x = 8,498.95 × 2,545.23
  4. Step 4: Simplify right side
    5,666.97x = 21,631,782.51
  5. Step 5: Solve for x
    x = 21,631,782.51/5,666.97
  6. Step 6: Final answer
    x = 3,817.17

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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.