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Finding the Fourth Proportional to 3,775.35, 5,663.94 and 1,582.86

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Solution

The fourth proportional to 3,775.35, 5,663.94 and 1,582.86 is: 2,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.35 : 5,663.94 = 1,582.86 : x
  2. Step 2: Convert to fraction form
    3,775.35/5,663.94 = 1,582.86/x
  3. Step 3: Cross multiply
    3,775.35x = 5,663.94 × 1,582.86
  4. Step 4: Simplify right side
    3,775.35x = 8,965,224.07
  5. Step 5: Solve for x
    x = 8,965,224.07/3,775.35
  6. Step 6: Final answer
    x = 2,374.67

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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.