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Finding the Fourth Proportional to 5,731.86, 7,913.25 and 4,384.99

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Solution

The fourth proportional to 5,731.86, 7,913.25 and 4,384.99 is: 6,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.86 : 7,913.25 = 4,384.99 : x
  2. Step 2: Convert to fraction form
    5,731.86/7,913.25 = 4,384.99/x
  3. Step 3: Cross multiply
    5,731.86x = 7,913.25 × 4,384.99
  4. Step 4: Simplify right side
    5,731.86x = 34,699,522.12
  5. Step 5: Solve for x
    x = 34,699,522.12/5,731.86
  6. Step 6: Final answer
    x = 6,053.80

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Why These Related Problems?

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