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Finding the Fourth Proportional to 4,152.99, 5,731.26 and 2,384.94

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Solution

The fourth proportional to 4,152.99, 5,731.26 and 2,384.94 is: 3,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.99 : 5,731.26 = 2,384.94 : x
  2. Step 2: Convert to fraction form
    4,152.99/5,731.26 = 2,384.94/x
  3. Step 3: Cross multiply
    4,152.99x = 5,731.26 × 2,384.94
  4. Step 4: Simplify right side
    4,152.99x = 13,668,711.22
  5. Step 5: Solve for x
    x = 13,668,711.22/4,152.99
  6. Step 6: Final answer
    x = 3,291.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.