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Finding the Fourth Proportional to 4,188.32, 5,779.02 and 2,486.51

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Solution

The fourth proportional to 4,188.32, 5,779.02 and 2,486.51 is: 3,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.32 : 5,779.02 = 2,486.51 : x
  2. Step 2: Convert to fraction form
    4,188.32/5,779.02 = 2,486.51/x
  3. Step 3: Cross multiply
    4,188.32x = 5,779.02 × 2,486.51
  4. Step 4: Simplify right side
    4,188.32x = 14,369,591.02
  5. Step 5: Solve for x
    x = 14,369,591.02/4,188.32
  6. Step 6: Final answer
    x = 3,430.87

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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.