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Finding the Fourth Proportional to 5,107.48, 7,661.48 and 1,409.63

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Solution

The fourth proportional to 5,107.48, 7,661.48 and 1,409.63 is: 2,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.48 : 7,661.48 = 1,409.63 : x
  2. Step 2: Convert to fraction form
    5,107.48/7,661.48 = 1,409.63/x
  3. Step 3: Cross multiply
    5,107.48x = 7,661.48 × 1,409.63
  4. Step 4: Simplify right side
    5,107.48x = 10,799,806.70
  5. Step 5: Solve for x
    x = 10,799,806.70/5,107.48
  6. Step 6: Final answer
    x = 2,114.51

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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.