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Finding the Fourth Proportional to 4,152, 5,729.76 and 2,289

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Solution

The fourth proportional to 4,152, 5,729.76 and 2,289 is: 3,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152 : 5,729.76 = 2,289 : x
  2. Step 2: Convert to fraction form
    4,152/5,729.76 = 2,289/x
  3. Step 3: Cross multiply
    4,152x = 5,729.76 × 2,289
  4. Step 4: Simplify right side
    4,152x = 13,115,420.64
  5. Step 5: Solve for x
    x = 13,115,420.64/4,152
  6. Step 6: Final answer
    x = 3,158.82

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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.