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Finding the Fourth Proportional to 4,622.99, 6,380.85 and 3,875.76

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Solution

The fourth proportional to 4,622.99, 6,380.85 and 3,875.76 is: 5,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.99 : 6,380.85 = 3,875.76 : x
  2. Step 2: Convert to fraction form
    4,622.99/6,380.85 = 3,875.76/x
  3. Step 3: Cross multiply
    4,622.99x = 6,380.85 × 3,875.76
  4. Step 4: Simplify right side
    4,622.99x = 24,730,643.20
  5. Step 5: Solve for x
    x = 24,730,643.20/4,622.99
  6. Step 6: Final answer
    x = 5,349.50

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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.