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Finding the Fourth Proportional to 3,159.08, 4,738.62 and 2,921

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Solution

The fourth proportional to 3,159.08, 4,738.62 and 2,921 is: 4,381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.08 : 4,738.62 = 2,921 : x
  2. Step 2: Convert to fraction form
    3,159.08/4,738.62 = 2,921/x
  3. Step 3: Cross multiply
    3,159.08x = 4,738.62 × 2,921
  4. Step 4: Simplify right side
    3,159.08x = 13,841,509.02
  5. Step 5: Solve for x
    x = 13,841,509.02/3,159.08
  6. Step 6: Final answer
    x = 4,381.50

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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.