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Finding the Fourth Proportional to 3,730, 5,147.40 and 2,159.01

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Solution

The fourth proportional to 3,730, 5,147.40 and 2,159.01 is: 2,979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730 : 5,147.40 = 2,159.01 : x
  2. Step 2: Convert to fraction form
    3,730/5,147.40 = 2,159.01/x
  3. Step 3: Cross multiply
    3,730x = 5,147.40 × 2,159.01
  4. Step 4: Simplify right side
    3,730x = 11,113,288.07
  5. Step 5: Solve for x
    x = 11,113,288.07/3,730
  6. Step 6: Final answer
    x = 2,979.43

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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.