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Finding the Fourth Proportional to 4,365.78, 6,549.53 and 1,444.06

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Solution

The fourth proportional to 4,365.78, 6,549.53 and 1,444.06 is: 2,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.78 : 6,549.53 = 1,444.06 : x
  2. Step 2: Convert to fraction form
    4,365.78/6,549.53 = 1,444.06/x
  3. Step 3: Cross multiply
    4,365.78x = 6,549.53 × 1,444.06
  4. Step 4: Simplify right side
    4,365.78x = 9,457,914.29
  5. Step 5: Solve for x
    x = 9,457,914.29/4,365.78
  6. Step 6: Final answer
    x = 2,166.37

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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.