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Finding the Fourth Proportional to 3,651.32, 5,038.53 and 2,159.30

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Solution

The fourth proportional to 3,651.32, 5,038.53 and 2,159.30 is: 2,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.32 : 5,038.53 = 2,159.30 : x
  2. Step 2: Convert to fraction form
    3,651.32/5,038.53 = 2,159.30/x
  3. Step 3: Cross multiply
    3,651.32x = 5,038.53 × 2,159.30
  4. Step 4: Simplify right side
    3,651.32x = 10,879,697.83
  5. Step 5: Solve for x
    x = 10,879,697.83/3,651.32
  6. Step 6: Final answer
    x = 2,979.66

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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.