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Finding the Fourth Proportional to 4,153.86, 5,731.65 and 2,290.50

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Solution

The fourth proportional to 4,153.86, 5,731.65 and 2,290.50 is: 3,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.86 : 5,731.65 = 2,290.50 : x
  2. Step 2: Convert to fraction form
    4,153.86/5,731.65 = 2,290.50/x
  3. Step 3: Cross multiply
    4,153.86x = 5,731.65 × 2,290.50
  4. Step 4: Simplify right side
    4,153.86x = 13,128,344.33
  5. Step 5: Solve for x
    x = 13,128,344.33/4,153.86
  6. Step 6: Final answer
    x = 3,160.52

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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.