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Finding the Fourth Proportional to 4,298.31, 5,931 and 2,409.99

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Solution

The fourth proportional to 4,298.31, 5,931 and 2,409.99 is: 3,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.31 : 5,931 = 2,409.99 : x
  2. Step 2: Convert to fraction form
    4,298.31/5,931 = 2,409.99/x
  3. Step 3: Cross multiply
    4,298.31x = 5,931 × 2,409.99
  4. Step 4: Simplify right side
    4,298.31x = 14,293,650.69
  5. Step 5: Solve for x
    x = 14,293,650.69/4,298.31
  6. Step 6: Final answer
    x = 3,325.41

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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.