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Finding the Fourth Proportional to 5,264.70, 7,895.94 and 1,566.90

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Solution

The fourth proportional to 5,264.70, 7,895.94 and 1,566.90 is: 2,350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.70 : 7,895.94 = 1,566.90 : x
  2. Step 2: Convert to fraction form
    5,264.70/7,895.94 = 1,566.90/x
  3. Step 3: Cross multiply
    5,264.70x = 7,895.94 × 1,566.90
  4. Step 4: Simplify right side
    5,264.70x = 12,372,148.39
  5. Step 5: Solve for x
    x = 12,372,148.39/5,264.70
  6. Step 6: Final answer
    x = 2,350.02

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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.