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Finding the Fourth Proportional to 6,514.85, 8,990.51 and 3,530.72

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Solution

The fourth proportional to 6,514.85, 8,990.51 and 3,530.72 is: 4,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.85 : 8,990.51 = 3,530.72 : x
  2. Step 2: Convert to fraction form
    6,514.85/8,990.51 = 3,530.72/x
  3. Step 3: Cross multiply
    6,514.85x = 8,990.51 × 3,530.72
  4. Step 4: Simplify right side
    6,514.85x = 31,742,910.86
  5. Step 5: Solve for x
    x = 31,742,910.86/6,514.85
  6. Step 6: Final answer
    x = 4,872.40

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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.