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Finding the Fourth Proportional to 4,346.30, 6,507.30 and 4,224.80

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Solution

The fourth proportional to 4,346.30, 6,507.30 and 4,224.80 is: 6,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.30 : 6,507.30 = 4,224.80 : x
  2. Step 2: Convert to fraction form
    4,346.30/6,507.30 = 4,224.80/x
  3. Step 3: Cross multiply
    4,346.30x = 6,507.30 × 4,224.80
  4. Step 4: Simplify right side
    4,346.30x = 27,492,041.04
  5. Step 5: Solve for x
    x = 27,492,041.04/4,346.30
  6. Step 6: Final answer
    x = 6,325.39

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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.