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Finding the Fourth Proportional to 4,643.08, 6,404.16 and 3,073.30

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Solution

The fourth proportional to 4,643.08, 6,404.16 and 3,073.30 is: 4,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.08 : 6,404.16 = 3,073.30 : x
  2. Step 2: Convert to fraction form
    4,643.08/6,404.16 = 3,073.30/x
  3. Step 3: Cross multiply
    4,643.08x = 6,404.16 × 3,073.30
  4. Step 4: Simplify right side
    4,643.08x = 19,681,904.93
  5. Step 5: Solve for x
    x = 19,681,904.93/4,643.08
  6. Step 6: Final answer
    x = 4,238.98

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