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Finding the Fourth Proportional to 5,813.13, 8,719.29 and 5,083.32

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Solution

The fourth proportional to 5,813.13, 8,719.29 and 5,083.32 is: 7,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.13 : 8,719.29 = 5,083.32 : x
  2. Step 2: Convert to fraction form
    5,813.13/8,719.29 = 5,083.32/x
  3. Step 3: Cross multiply
    5,813.13x = 8,719.29 × 5,083.32
  4. Step 4: Simplify right side
    5,813.13x = 44,322,941.24
  5. Step 5: Solve for x
    x = 44,322,941.24/5,813.13
  6. Step 6: Final answer
    x = 7,624.63

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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.