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Finding the Fourth Proportional to 3,809.90, 5,718.07 and 1,503.02

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Solution

The fourth proportional to 3,809.90, 5,718.07 and 1,503.02 is: 2,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.90 : 5,718.07 = 1,503.02 : x
  2. Step 2: Convert to fraction form
    3,809.90/5,718.07 = 1,503.02/x
  3. Step 3: Cross multiply
    3,809.90x = 5,718.07 × 1,503.02
  4. Step 4: Simplify right side
    3,809.90x = 8,594,373.57
  5. Step 5: Solve for x
    x = 8,594,373.57/3,809.90
  6. Step 6: Final answer
    x = 2,255.80

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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.