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Finding the Fourth Proportional to 3,615.76, 4,987.83 and 2,288.98

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Solution

The fourth proportional to 3,615.76, 4,987.83 and 2,288.98 is: 3,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.76 : 4,987.83 = 2,288.98 : x
  2. Step 2: Convert to fraction form
    3,615.76/4,987.83 = 2,288.98/x
  3. Step 3: Cross multiply
    3,615.76x = 4,987.83 × 2,288.98
  4. Step 4: Simplify right side
    3,615.76x = 11,417,043.11
  5. Step 5: Solve for x
    x = 11,417,043.11/3,615.76
  6. Step 6: Final answer
    x = 3,157.58

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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.