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Finding the Fourth Proportional to 3,582.66, 5,374.01 and 1,633.50

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Solution

The fourth proportional to 3,582.66, 5,374.01 and 1,633.50 is: 2,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.66 : 5,374.01 = 1,633.50 : x
  2. Step 2: Convert to fraction form
    3,582.66/5,374.01 = 1,633.50/x
  3. Step 3: Cross multiply
    3,582.66x = 5,374.01 × 1,633.50
  4. Step 4: Simplify right side
    3,582.66x = 8,778,445.34
  5. Step 5: Solve for x
    x = 8,778,445.34/3,582.66
  6. Step 6: Final answer
    x = 2,450.26

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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.