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Finding the Fourth Proportional to 5,226.47, 7,841.00 and 2,595.21

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Solution

The fourth proportional to 5,226.47, 7,841.00 and 2,595.21 is: 3,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.47 : 7,841.00 = 2,595.21 : x
  2. Step 2: Convert to fraction form
    5,226.47/7,841.00 = 2,595.21/x
  3. Step 3: Cross multiply
    5,226.47x = 7,841.00 × 2,595.21
  4. Step 4: Simplify right side
    5,226.47x = 20,349,051.85
  5. Step 5: Solve for x
    x = 20,349,051.85/5,226.47
  6. Step 6: Final answer
    x = 3,893.46

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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.