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Finding the Fourth Proportional to 5,565.76, 8,354 and 2,646

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Solution

The fourth proportional to 5,565.76, 8,354 and 2,646 is: 3,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.76 : 8,354 = 2,646 : x
  2. Step 2: Convert to fraction form
    5,565.76/8,354 = 2,646/x
  3. Step 3: Cross multiply
    5,565.76x = 8,354 × 2,646
  4. Step 4: Simplify right side
    5,565.76x = 22,104,684
  5. Step 5: Solve for x
    x = 22,104,684/5,565.76
  6. Step 6: Final answer
    x = 3,971.55

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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.