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Finding the Fourth Proportional to 4,188.56, 5,779.80 and 2,509.92

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Solution

The fourth proportional to 4,188.56, 5,779.80 and 2,509.92 is: 3,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.56 : 5,779.80 = 2,509.92 : x
  2. Step 2: Convert to fraction form
    4,188.56/5,779.80 = 2,509.92/x
  3. Step 3: Cross multiply
    4,188.56x = 5,779.80 × 2,509.92
  4. Step 4: Simplify right side
    4,188.56x = 14,506,835.62
  5. Step 5: Solve for x
    x = 14,506,835.62/4,188.56
  6. Step 6: Final answer
    x = 3,463.45

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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.