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Finding the Fourth Proportional to 4,719.36, 7,044 and 4,165.80

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Solution

The fourth proportional to 4,719.36, 7,044 and 4,165.80 is: 6,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.36 : 7,044 = 4,165.80 : x
  2. Step 2: Convert to fraction form
    4,719.36/7,044 = 4,165.80/x
  3. Step 3: Cross multiply
    4,719.36x = 7,044 × 4,165.80
  4. Step 4: Simplify right side
    4,719.36x = 29,343,895.20
  5. Step 5: Solve for x
    x = 29,343,895.20/4,719.36
  6. Step 6: Final answer
    x = 6,217.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.