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Finding the Fourth Proportional to 4,253.65, 5,869.99 and 2,365.22

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Solution

The fourth proportional to 4,253.65, 5,869.99 and 2,365.22 is: 3,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.65 : 5,869.99 = 2,365.22 : x
  2. Step 2: Convert to fraction form
    4,253.65/5,869.99 = 2,365.22/x
  3. Step 3: Cross multiply
    4,253.65x = 5,869.99 × 2,365.22
  4. Step 4: Simplify right side
    4,253.65x = 13,883,817.75
  5. Step 5: Solve for x
    x = 13,883,817.75/4,253.65
  6. Step 6: Final answer
    x = 3,263.98

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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.