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Finding the Fourth Proportional to 4,188.64, 5,779.78 and 2,509.74

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Solution

The fourth proportional to 4,188.64, 5,779.78 and 2,509.74 is: 3,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.64 : 5,779.78 = 2,509.74 : x
  2. Step 2: Convert to fraction form
    4,188.64/5,779.78 = 2,509.74/x
  3. Step 3: Cross multiply
    4,188.64x = 5,779.78 × 2,509.74
  4. Step 4: Simplify right side
    4,188.64x = 14,505,745.06
  5. Step 5: Solve for x
    x = 14,505,745.06/4,188.64
  6. Step 6: Final answer
    x = 3,463.12

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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.