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Finding the Fourth Proportional to 4,225.30, 6,337.95 and 1,147.30

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Solution

The fourth proportional to 4,225.30, 6,337.95 and 1,147.30 is: 1,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.30 : 6,337.95 = 1,147.30 : x
  2. Step 2: Convert to fraction form
    4,225.30/6,337.95 = 1,147.30/x
  3. Step 3: Cross multiply
    4,225.30x = 6,337.95 × 1,147.30
  4. Step 4: Simplify right side
    4,225.30x = 7,271,530.04
  5. Step 5: Solve for x
    x = 7,271,530.04/4,225.30
  6. Step 6: Final answer
    x = 1,720.95

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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.