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Finding the Fourth Proportional to 5,494.86, 7,582.98 and 3,010.86

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Solution

The fourth proportional to 5,494.86, 7,582.98 and 3,010.86 is: 4,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.86 : 7,582.98 = 3,010.86 : x
  2. Step 2: Convert to fraction form
    5,494.86/7,582.98 = 3,010.86/x
  3. Step 3: Cross multiply
    5,494.86x = 7,582.98 × 3,010.86
  4. Step 4: Simplify right side
    5,494.86x = 22,831,291.16
  5. Step 5: Solve for x
    x = 22,831,291.16/5,494.86
  6. Step 6: Final answer
    x = 4,155.03

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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.