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Finding the Fourth Proportional to 6,225.24, 8,591.22 and 3,430.74

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Solution

The fourth proportional to 6,225.24, 8,591.22 and 3,430.74 is: 4,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.24 : 8,591.22 = 3,430.74 : x
  2. Step 2: Convert to fraction form
    6,225.24/8,591.22 = 3,430.74/x
  3. Step 3: Cross multiply
    6,225.24x = 8,591.22 × 3,430.74
  4. Step 4: Simplify right side
    6,225.24x = 29,474,242.10
  5. Step 5: Solve for x
    x = 29,474,242.10/6,225.24
  6. Step 6: Final answer
    x = 4,734.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.