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Finding the Fourth Proportional to 5,363.94, 8,045.64 and 1,666.53

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Solution

The fourth proportional to 5,363.94, 8,045.64 and 1,666.53 is: 2,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.94 : 8,045.64 = 1,666.53 : x
  2. Step 2: Convert to fraction form
    5,363.94/8,045.64 = 1,666.53/x
  3. Step 3: Cross multiply
    5,363.94x = 8,045.64 × 1,666.53
  4. Step 4: Simplify right side
    5,363.94x = 13,408,300.43
  5. Step 5: Solve for x
    x = 13,408,300.43/5,363.94
  6. Step 6: Final answer
    x = 2,499.71

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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.