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Finding the Fourth Proportional to 6,249, 8,624.16 and 3,455.04

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Solution

The fourth proportional to 6,249, 8,624.16 and 3,455.04 is: 4,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249 : 8,624.16 = 3,455.04 : x
  2. Step 2: Convert to fraction form
    6,249/8,624.16 = 3,455.04/x
  3. Step 3: Cross multiply
    6,249x = 8,624.16 × 3,455.04
  4. Step 4: Simplify right side
    6,249x = 29,796,817.77
  5. Step 5: Solve for x
    x = 29,796,817.77/6,249
  6. Step 6: Final answer
    x = 4,768.25

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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.