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Finding the Fourth Proportional to 4,700.08, 7,078.12 and 3,410.56

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Solution

The fourth proportional to 4,700.08, 7,078.12 and 3,410.56 is: 5,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.08 : 7,078.12 = 3,410.56 : x
  2. Step 2: Convert to fraction form
    4,700.08/7,078.12 = 3,410.56/x
  3. Step 3: Cross multiply
    4,700.08x = 7,078.12 × 3,410.56
  4. Step 4: Simplify right side
    4,700.08x = 24,140,352.95
  5. Step 5: Solve for x
    x = 24,140,352.95/4,700.08
  6. Step 6: Final answer
    x = 5,136.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.