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Finding the Fourth Proportional to 5,824.73, 8,036.37 and 5,263.40

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Solution

The fourth proportional to 5,824.73, 8,036.37 and 5,263.40 is: 7,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.73 : 8,036.37 = 5,263.40 : x
  2. Step 2: Convert to fraction form
    5,824.73/8,036.37 = 5,263.40/x
  3. Step 3: Cross multiply
    5,824.73x = 8,036.37 × 5,263.40
  4. Step 4: Simplify right side
    5,824.73x = 42,298,649.95
  5. Step 5: Solve for x
    x = 42,298,649.95/5,824.73
  6. Step 6: Final answer
    x = 7,261.90

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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.