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Finding the Fourth Proportional to 5,204.45, 7,795.06 and 4,026.44

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Solution

The fourth proportional to 5,204.45, 7,795.06 and 4,026.44 is: 6,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.45 : 7,795.06 = 4,026.44 : x
  2. Step 2: Convert to fraction form
    5,204.45/7,795.06 = 4,026.44/x
  3. Step 3: Cross multiply
    5,204.45x = 7,795.06 × 4,026.44
  4. Step 4: Simplify right side
    5,204.45x = 31,386,341.39
  5. Step 5: Solve for x
    x = 31,386,341.39/5,204.45
  6. Step 6: Final answer
    x = 6,030.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.