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Finding the Fourth Proportional to 4,779.76, 7,175.76 and 3,684.88

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Solution

The fourth proportional to 4,779.76, 7,175.76 and 3,684.88 is: 5,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779.76 : 7,175.76 = 3,684.88 : x
  2. Step 2: Convert to fraction form
    4,779.76/7,175.76 = 3,684.88/x
  3. Step 3: Cross multiply
    4,779.76x = 7,175.76 × 3,684.88
  4. Step 4: Simplify right side
    4,779.76x = 26,441,814.51
  5. Step 5: Solve for x
    x = 26,441,814.51/4,779.76
  6. Step 6: Final answer
    x = 5,532.04

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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.