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Finding the Fourth Proportional to 3,614.94, 5,419.53 and 1,564.38

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Solution

The fourth proportional to 3,614.94, 5,419.53 and 1,564.38 is: 2,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.94 : 5,419.53 = 1,564.38 : x
  2. Step 2: Convert to fraction form
    3,614.94/5,419.53 = 1,564.38/x
  3. Step 3: Cross multiply
    3,614.94x = 5,419.53 × 1,564.38
  4. Step 4: Simplify right side
    3,614.94x = 8,478,204.34
  5. Step 5: Solve for x
    x = 8,478,204.34/3,614.94
  6. Step 6: Final answer
    x = 2,345.32

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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.