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Finding the Fourth Proportional to 4,365.25, 6,549.14 and 1,287.25

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Solution

The fourth proportional to 4,365.25, 6,549.14 and 1,287.25 is: 1,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.25 : 6,549.14 = 1,287.25 : x
  2. Step 2: Convert to fraction form
    4,365.25/6,549.14 = 1,287.25/x
  3. Step 3: Cross multiply
    4,365.25x = 6,549.14 × 1,287.25
  4. Step 4: Simplify right side
    4,365.25x = 8,430,380.47
  5. Step 5: Solve for x
    x = 8,430,380.47/4,365.25
  6. Step 6: Final answer
    x = 1,931.25

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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.