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Finding the Fourth Proportional to 5,269.77, 7,895.41 and 4,697.78

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Solution

The fourth proportional to 5,269.77, 7,895.41 and 4,697.78 is: 7,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.77 : 7,895.41 = 4,697.78 : x
  2. Step 2: Convert to fraction form
    5,269.77/7,895.41 = 4,697.78/x
  3. Step 3: Cross multiply
    5,269.77x = 7,895.41 × 4,697.78
  4. Step 4: Simplify right side
    5,269.77x = 37,090,847.97
  5. Step 5: Solve for x
    x = 37,090,847.97/5,269.77
  6. Step 6: Final answer
    x = 7,038.42

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1.5x scale

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.