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Finding the Fourth Proportional to 4,001.65, 6,001.76 and 2,356.27

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Solution

The fourth proportional to 4,001.65, 6,001.76 and 2,356.27 is: 3,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.65 : 6,001.76 = 2,356.27 : x
  2. Step 2: Convert to fraction form
    4,001.65/6,001.76 = 2,356.27/x
  3. Step 3: Cross multiply
    4,001.65x = 6,001.76 × 2,356.27
  4. Step 4: Simplify right side
    4,001.65x = 14,141,767.04
  5. Step 5: Solve for x
    x = 14,141,767.04/4,001.65
  6. Step 6: Final answer
    x = 3,533.98

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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.