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Finding the Fourth Proportional to 4,545.84, 6,813.78 and 1,771.68

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Solution

The fourth proportional to 4,545.84, 6,813.78 and 1,771.68 is: 2,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,545.84 : 6,813.78 = 1,771.68 : x
  2. Step 2: Convert to fraction form
    4,545.84/6,813.78 = 1,771.68/x
  3. Step 3: Cross multiply
    4,545.84x = 6,813.78 × 1,771.68
  4. Step 4: Simplify right side
    4,545.84x = 12,071,837.75
  5. Step 5: Solve for x
    x = 12,071,837.75/4,545.84
  6. Step 6: Final answer
    x = 2,655.58

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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.