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Finding the Fourth Proportional to 5,184.45, 7,765.34 and 5,070.31

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Solution

The fourth proportional to 5,184.45, 7,765.34 and 5,070.31 is: 7,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.45 : 7,765.34 = 5,070.31 : x
  2. Step 2: Convert to fraction form
    5,184.45/7,765.34 = 5,070.31/x
  3. Step 3: Cross multiply
    5,184.45x = 7,765.34 × 5,070.31
  4. Step 4: Simplify right side
    5,184.45x = 39,372,636.29
  5. Step 5: Solve for x
    x = 39,372,636.29/5,184.45
  6. Step 6: Final answer
    x = 7,594.37

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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.