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Finding the Fourth Proportional to 4,242.84, 5,860.04 and 2,824.08

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Solution

The fourth proportional to 4,242.84, 5,860.04 and 2,824.08 is: 3,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.84 : 5,860.04 = 2,824.08 : x
  2. Step 2: Convert to fraction form
    4,242.84/5,860.04 = 2,824.08/x
  3. Step 3: Cross multiply
    4,242.84x = 5,860.04 × 2,824.08
  4. Step 4: Simplify right side
    4,242.84x = 16,549,207.64
  5. Step 5: Solve for x
    x = 16,549,207.64/4,242.84
  6. Step 6: Final answer
    x = 3,900.50

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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.