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Finding the Fourth Proportional to 3,779.95, 5,216.58 and 2,287.93

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Solution

The fourth proportional to 3,779.95, 5,216.58 and 2,287.93 is: 3,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.95 : 5,216.58 = 2,287.93 : x
  2. Step 2: Convert to fraction form
    3,779.95/5,216.58 = 2,287.93/x
  3. Step 3: Cross multiply
    3,779.95x = 5,216.58 × 2,287.93
  4. Step 4: Simplify right side
    3,779.95x = 11,935,169.88
  5. Step 5: Solve for x
    x = 11,935,169.88/3,779.95
  6. Step 6: Final answer
    x = 3,157.49

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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.