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Finding the Fourth Proportional to 6,514.32, 8,987.04 and 4,155.84

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Solution

The fourth proportional to 6,514.32, 8,987.04 and 4,155.84 is: 5,733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.32 : 8,987.04 = 4,155.84 : x
  2. Step 2: Convert to fraction form
    6,514.32/8,987.04 = 4,155.84/x
  3. Step 3: Cross multiply
    6,514.32x = 8,987.04 × 4,155.84
  4. Step 4: Simplify right side
    6,514.32x = 37,348,700.31
  5. Step 5: Solve for x
    x = 37,348,700.31/6,514.32
  6. Step 6: Final answer
    x = 5,733.32

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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.