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Finding the Fourth Proportional to 5,465.14, 8,195.10 and 1,568.50

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Solution

The fourth proportional to 5,465.14, 8,195.10 and 1,568.50 is: 2,352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.14 : 8,195.10 = 1,568.50 : x
  2. Step 2: Convert to fraction form
    5,465.14/8,195.10 = 1,568.50/x
  3. Step 3: Cross multiply
    5,465.14x = 8,195.10 × 1,568.50
  4. Step 4: Simplify right side
    5,465.14x = 12,854,014.35
  5. Step 5: Solve for x
    x = 12,854,014.35/5,465.14
  6. Step 6: Final answer
    x = 2,352.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.