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Finding the Fourth Proportional to 3,875.79, 5,814.23 and 1,242.68

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Solution

The fourth proportional to 3,875.79, 5,814.23 and 1,242.68 is: 1,864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.79 : 5,814.23 = 1,242.68 : x
  2. Step 2: Convert to fraction form
    3,875.79/5,814.23 = 1,242.68/x
  3. Step 3: Cross multiply
    3,875.79x = 5,814.23 × 1,242.68
  4. Step 4: Simplify right side
    3,875.79x = 7,225,227.34
  5. Step 5: Solve for x
    x = 7,225,227.34/3,875.79
  6. Step 6: Final answer
    x = 1,864.19

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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.