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Finding the Fourth Proportional to 4,736.13, 7,106.01 and 1,814.66

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Solution

The fourth proportional to 4,736.13, 7,106.01 and 1,814.66 is: 2,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.13 : 7,106.01 = 1,814.66 : x
  2. Step 2: Convert to fraction form
    4,736.13/7,106.01 = 1,814.66/x
  3. Step 3: Cross multiply
    4,736.13x = 7,106.01 × 1,814.66
  4. Step 4: Simplify right side
    4,736.13x = 12,894,992.11
  5. Step 5: Solve for x
    x = 12,894,992.11/4,736.13
  6. Step 6: Final answer
    x = 2,722.69

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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.