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Finding the Fourth Proportional to 4,242.88, 6,357.48 and 2,296

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Solution

The fourth proportional to 4,242.88, 6,357.48 and 2,296 is: 3,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.88 : 6,357.48 = 2,296 : x
  2. Step 2: Convert to fraction form
    4,242.88/6,357.48 = 2,296/x
  3. Step 3: Cross multiply
    4,242.88x = 6,357.48 × 2,296
  4. Step 4: Simplify right side
    4,242.88x = 14,596,774.08
  5. Step 5: Solve for x
    x = 14,596,774.08/4,242.88
  6. Step 6: Final answer
    x = 3,440.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.