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Finding the Fourth Proportional to 5,164.10, 7,779.08 and 4,715.78

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Solution

The fourth proportional to 5,164.10, 7,779.08 and 4,715.78 is: 7,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.10 : 7,779.08 = 4,715.78 : x
  2. Step 2: Convert to fraction form
    5,164.10/7,779.08 = 4,715.78/x
  3. Step 3: Cross multiply
    5,164.10x = 7,779.08 × 4,715.78
  4. Step 4: Simplify right side
    5,164.10x = 36,684,429.88
  5. Step 5: Solve for x
    x = 36,684,429.88/5,164.10
  6. Step 6: Final answer
    x = 7,103.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.