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Finding the Fourth Proportional to 4,314.84, 5,955.04 and 2,824.04

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Solution

The fourth proportional to 4,314.84, 5,955.04 and 2,824.04 is: 3,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.84 : 5,955.04 = 2,824.04 : x
  2. Step 2: Convert to fraction form
    4,314.84/5,955.04 = 2,824.04/x
  3. Step 3: Cross multiply
    4,314.84x = 5,955.04 × 2,824.04
  4. Step 4: Simplify right side
    4,314.84x = 16,817,271.16
  5. Step 5: Solve for x
    x = 16,817,271.16/4,314.84
  6. Step 6: Final answer
    x = 3,897.54

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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.