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Finding the Fourth Proportional to 5,842.22, 8,061.54 and 3,483.86

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Solution

The fourth proportional to 5,842.22, 8,061.54 and 3,483.86 is: 4,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.22 : 8,061.54 = 3,483.86 : x
  2. Step 2: Convert to fraction form
    5,842.22/8,061.54 = 3,483.86/x
  3. Step 3: Cross multiply
    5,842.22x = 8,061.54 × 3,483.86
  4. Step 4: Simplify right side
    5,842.22x = 28,085,276.74
  5. Step 5: Solve for x
    x = 28,085,276.74/5,842.22
  6. Step 6: Final answer
    x = 4,807.30

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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.