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Finding the Fourth Proportional to 3,513.34, 5,271.37 and 1,564.21

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Solution

The fourth proportional to 3,513.34, 5,271.37 and 1,564.21 is: 2,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.34 : 5,271.37 = 1,564.21 : x
  2. Step 2: Convert to fraction form
    3,513.34/5,271.37 = 1,564.21/x
  3. Step 3: Cross multiply
    3,513.34x = 5,271.37 × 1,564.21
  4. Step 4: Simplify right side
    3,513.34x = 8,245,503.31
  5. Step 5: Solve for x
    x = 8,245,503.31/3,513.34
  6. Step 6: Final answer
    x = 2,346.92

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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.