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Finding the Fourth Proportional to 5,365.58, 7,382.14 and 5,219.78

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Solution

The fourth proportional to 5,365.58, 7,382.14 and 5,219.78 is: 7,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.58 : 7,382.14 = 5,219.78 : x
  2. Step 2: Convert to fraction form
    5,365.58/7,382.14 = 5,219.78/x
  3. Step 3: Cross multiply
    5,365.58x = 7,382.14 × 5,219.78
  4. Step 4: Simplify right side
    5,365.58x = 38,533,096.77
  5. Step 5: Solve for x
    x = 38,533,096.77/5,365.58
  6. Step 6: Final answer
    x = 7,181.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.