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Finding the Fourth Proportional to 5,698.36, 8,545.49 and 2,411.69

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Solution

The fourth proportional to 5,698.36, 8,545.49 and 2,411.69 is: 3,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.36 : 8,545.49 = 2,411.69 : x
  2. Step 2: Convert to fraction form
    5,698.36/8,545.49 = 2,411.69/x
  3. Step 3: Cross multiply
    5,698.36x = 8,545.49 × 2,411.69
  4. Step 4: Simplify right side
    5,698.36x = 20,609,030.05
  5. Step 5: Solve for x
    x = 20,609,030.05/5,698.36
  6. Step 6: Final answer
    x = 3,616.66

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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.