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Finding the Fourth Proportional to 5,185.64, 7,779.60 and 1,487.58

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Solution

The fourth proportional to 5,185.64, 7,779.60 and 1,487.58 is: 2,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.64 : 7,779.60 = 1,487.58 : x
  2. Step 2: Convert to fraction form
    5,185.64/7,779.60 = 1,487.58/x
  3. Step 3: Cross multiply
    5,185.64x = 7,779.60 × 1,487.58
  4. Step 4: Simplify right side
    5,185.64x = 11,572,777.37
  5. Step 5: Solve for x
    x = 11,572,777.37/5,185.64
  6. Step 6: Final answer
    x = 2,231.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.