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Finding the Fourth Proportional to 5,637.65, 8,457.89 and 2,349.05

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Solution

The fourth proportional to 5,637.65, 8,457.89 and 2,349.05 is: 3,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.65 : 8,457.89 = 2,349.05 : x
  2. Step 2: Convert to fraction form
    5,637.65/8,457.89 = 2,349.05/x
  3. Step 3: Cross multiply
    5,637.65x = 8,457.89 × 2,349.05
  4. Step 4: Simplify right side
    5,637.65x = 19,867,952.47
  5. Step 5: Solve for x
    x = 19,867,952.47/5,637.65
  6. Step 6: Final answer
    x = 3,524.16

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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.