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Finding the Fourth Proportional to 4,730.40, 7,089.12 and 3,000.24

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Solution

The fourth proportional to 4,730.40, 7,089.12 and 3,000.24 is: 4,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.40 : 7,089.12 = 3,000.24 : x
  2. Step 2: Convert to fraction form
    4,730.40/7,089.12 = 3,000.24/x
  3. Step 3: Cross multiply
    4,730.40x = 7,089.12 × 3,000.24
  4. Step 4: Simplify right side
    4,730.40x = 21,269,061.39
  5. Step 5: Solve for x
    x = 21,269,061.39/4,730.40
  6. Step 6: Final answer
    x = 4,496.25

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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.