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Finding the Fourth Proportional to 5,001.82, 6,898.57 and 4,666.48

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Solution

The fourth proportional to 5,001.82, 6,898.57 and 4,666.48 is: 6,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.82 : 6,898.57 = 4,666.48 : x
  2. Step 2: Convert to fraction form
    5,001.82/6,898.57 = 4,666.48/x
  3. Step 3: Cross multiply
    5,001.82x = 6,898.57 × 4,666.48
  4. Step 4: Simplify right side
    5,001.82x = 32,192,038.93
  5. Step 5: Solve for x
    x = 32,192,038.93/5,001.82
  6. Step 6: Final answer
    x = 6,436.07

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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.