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Finding the Fourth Proportional to 3,875.22, 5,810.40 and 2,575.17

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Solution

The fourth proportional to 3,875.22, 5,810.40 and 2,575.17 is: 3,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.22 : 5,810.40 = 2,575.17 : x
  2. Step 2: Convert to fraction form
    3,875.22/5,810.40 = 2,575.17/x
  3. Step 3: Cross multiply
    3,875.22x = 5,810.40 × 2,575.17
  4. Step 4: Simplify right side
    3,875.22x = 14,962,767.77
  5. Step 5: Solve for x
    x = 14,962,767.77/3,875.22
  6. Step 6: Final answer
    x = 3,861.14

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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.