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Finding the Fourth Proportional to 4,678.30, 7,005.30 and 3,025.90

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Solution

The fourth proportional to 4,678.30, 7,005.30 and 3,025.90 is: 4,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.30 : 7,005.30 = 3,025.90 : x
  2. Step 2: Convert to fraction form
    4,678.30/7,005.30 = 3,025.90/x
  3. Step 3: Cross multiply
    4,678.30x = 7,005.30 × 3,025.90
  4. Step 4: Simplify right side
    4,678.30x = 21,197,337.27
  5. Step 5: Solve for x
    x = 21,197,337.27/4,678.30
  6. Step 6: Final answer
    x = 4,530.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.