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Finding the Fourth Proportional to 4,409.91, 6,085.53 and 2,420.46

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Solution

The fourth proportional to 4,409.91, 6,085.53 and 2,420.46 is: 3,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.91 : 6,085.53 = 2,420.46 : x
  2. Step 2: Convert to fraction form
    4,409.91/6,085.53 = 2,420.46/x
  3. Step 3: Cross multiply
    4,409.91x = 6,085.53 × 2,420.46
  4. Step 4: Simplify right side
    4,409.91x = 14,729,781.94
  5. Step 5: Solve for x
    x = 14,729,781.94/4,409.91
  6. Step 6: Final answer
    x = 3,340.15

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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.