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Finding the Fourth Proportional to 4,774.16, 7,156 and 2,307.24

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Solution

The fourth proportional to 4,774.16, 7,156 and 2,307.24 is: 3,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.16 : 7,156 = 2,307.24 : x
  2. Step 2: Convert to fraction form
    4,774.16/7,156 = 2,307.24/x
  3. Step 3: Cross multiply
    4,774.16x = 7,156 × 2,307.24
  4. Step 4: Simplify right side
    4,774.16x = 16,510,609.44
  5. Step 5: Solve for x
    x = 16,510,609.44/4,774.16
  6. Step 6: Final answer
    x = 3,458.33

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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.