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Finding the Fourth Proportional to 5,465.75, 8,200.01 and 1,570.16

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Solution

The fourth proportional to 5,465.75, 8,200.01 and 1,570.16 is: 2,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.75 : 8,200.01 = 1,570.16 : x
  2. Step 2: Convert to fraction form
    5,465.75/8,200.01 = 1,570.16/x
  3. Step 3: Cross multiply
    5,465.75x = 8,200.01 × 1,570.16
  4. Step 4: Simplify right side
    5,465.75x = 12,875,286.70
  5. Step 5: Solve for x
    x = 12,875,286.70/5,465.75
  6. Step 6: Final answer
    x = 2,355.63

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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.