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Finding the Fourth Proportional to 4,953, 7,423.88 and 2,317.36

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Solution

The fourth proportional to 4,953, 7,423.88 and 2,317.36 is: 3,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953 : 7,423.88 = 2,317.36 : x
  2. Step 2: Convert to fraction form
    4,953/7,423.88 = 2,317.36/x
  3. Step 3: Cross multiply
    4,953x = 7,423.88 × 2,317.36
  4. Step 4: Simplify right side
    4,953x = 17,203,802.56
  5. Step 5: Solve for x
    x = 17,203,802.56/4,953
  6. Step 6: Final answer
    x = 3,473.41

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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.