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Finding the Fourth Proportional to 4,476.51, 6,715.83 and 4,402.14

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Solution

The fourth proportional to 4,476.51, 6,715.83 and 4,402.14 is: 6,604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.51 : 6,715.83 = 4,402.14 : x
  2. Step 2: Convert to fraction form
    4,476.51/6,715.83 = 4,402.14/x
  3. Step 3: Cross multiply
    4,476.51x = 6,715.83 × 4,402.14
  4. Step 4: Simplify right side
    4,476.51x = 29,564,023.88
  5. Step 5: Solve for x
    x = 29,564,023.88/4,476.51
  6. Step 6: Final answer
    x = 6,604.26

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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.