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Finding the Fourth Proportional to 6,141, 8,475.30 and 3,657

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Solution

The fourth proportional to 6,141, 8,475.30 and 3,657 is: 5,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141 : 8,475.30 = 3,657 : x
  2. Step 2: Convert to fraction form
    6,141/8,475.30 = 3,657/x
  3. Step 3: Cross multiply
    6,141x = 8,475.30 × 3,657
  4. Step 4: Simplify right side
    6,141x = 30,994,172.10
  5. Step 5: Solve for x
    x = 30,994,172.10/6,141
  6. Step 6: Final answer
    x = 5,047.09

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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.