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Finding the Fourth Proportional to 5,475.84, 8,206.08 and 3,648

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Solution

The fourth proportional to 5,475.84, 8,206.08 and 3,648 is: 5,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.84 : 8,206.08 = 3,648 : x
  2. Step 2: Convert to fraction form
    5,475.84/8,206.08 = 3,648/x
  3. Step 3: Cross multiply
    5,475.84x = 8,206.08 × 3,648
  4. Step 4: Simplify right side
    5,475.84x = 29,935,779.84
  5. Step 5: Solve for x
    x = 29,935,779.84/5,475.84
  6. Step 6: Final answer
    x = 5,466.88

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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.