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Finding the Fourth Proportional to 5,093.64, 7,643.24 and 5,078.16

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Solution

The fourth proportional to 5,093.64, 7,643.24 and 5,078.16 is: 7,620.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.64 : 7,643.24 = 5,078.16 : x
  2. Step 2: Convert to fraction form
    5,093.64/7,643.24 = 5,078.16/x
  3. Step 3: Cross multiply
    5,093.64x = 7,643.24 × 5,078.16
  4. Step 4: Simplify right side
    5,093.64x = 38,813,595.64
  5. Step 5: Solve for x
    x = 38,813,595.64/5,093.64
  6. Step 6: Final answer
    x = 7,620.01

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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.