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Finding the Fourth Proportional to 5,779.68, 8,670.72 and 2,492.96

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Solution

The fourth proportional to 5,779.68, 8,670.72 and 2,492.96 is: 3,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.68 : 8,670.72 = 2,492.96 : x
  2. Step 2: Convert to fraction form
    5,779.68/8,670.72 = 2,492.96/x
  3. Step 3: Cross multiply
    5,779.68x = 8,670.72 × 2,492.96
  4. Step 4: Simplify right side
    5,779.68x = 21,615,758.13
  5. Step 5: Solve for x
    x = 21,615,758.13/5,779.68
  6. Step 6: Final answer
    x = 3,739.96

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Why These Related Problems?

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