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Finding the Fourth Proportional to 5,184.96, 7,779.74 and 2,719.20

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Solution

The fourth proportional to 5,184.96, 7,779.74 and 2,719.20 is: 4,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.96 : 7,779.74 = 2,719.20 : x
  2. Step 2: Convert to fraction form
    5,184.96/7,779.74 = 2,719.20/x
  3. Step 3: Cross multiply
    5,184.96x = 7,779.74 × 2,719.20
  4. Step 4: Simplify right side
    5,184.96x = 21,154,669.01
  5. Step 5: Solve for x
    x = 21,154,669.01/5,184.96
  6. Step 6: Final answer
    x = 4,080.01

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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.