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Finding the Fourth Proportional to 5,837.64, 8,756.46 and 3,875.82

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Solution

The fourth proportional to 5,837.64, 8,756.46 and 3,875.82 is: 5,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.64 : 8,756.46 = 3,875.82 : x
  2. Step 2: Convert to fraction form
    5,837.64/8,756.46 = 3,875.82/x
  3. Step 3: Cross multiply
    5,837.64x = 8,756.46 × 3,875.82
  4. Step 4: Simplify right side
    5,837.64x = 33,938,462.80
  5. Step 5: Solve for x
    x = 33,938,462.80/5,837.64
  6. Step 6: Final answer
    x = 5,813.73

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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.