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Finding the Fourth Proportional to 5,837.46, 8,756.19 and 3,875.64

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Solution

The fourth proportional to 5,837.46, 8,756.19 and 3,875.64 is: 5,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.46 : 8,756.19 = 3,875.64 : x
  2. Step 2: Convert to fraction form
    5,837.46/8,756.19 = 3,875.64/x
  3. Step 3: Cross multiply
    5,837.46x = 8,756.19 × 3,875.64
  4. Step 4: Simplify right side
    5,837.46x = 33,935,840.21
  5. Step 5: Solve for x
    x = 33,935,840.21/5,837.46
  6. Step 6: Final answer
    x = 5,813.46

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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.