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Finding the Fourth Proportional to 4,341.40, 6,513.34 and 1,568

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Solution

The fourth proportional to 4,341.40, 6,513.34 and 1,568 is: 2,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.40 : 6,513.34 = 1,568 : x
  2. Step 2: Convert to fraction form
    4,341.40/6,513.34 = 1,568/x
  3. Step 3: Cross multiply
    4,341.40x = 6,513.34 × 1,568
  4. Step 4: Simplify right side
    4,341.40x = 10,212,917.12
  5. Step 5: Solve for x
    x = 10,212,917.12/4,341.40
  6. Step 6: Final answer
    x = 2,352.45

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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.