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Finding the Fourth Proportional to 3,842.40, 5,301 and 2,666.40

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Solution

The fourth proportional to 3,842.40, 5,301 and 2,666.40 is: 3,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.40 : 5,301 = 2,666.40 : x
  2. Step 2: Convert to fraction form
    3,842.40/5,301 = 2,666.40/x
  3. Step 3: Cross multiply
    3,842.40x = 5,301 × 2,666.40
  4. Step 4: Simplify right side
    3,842.40x = 14,134,586.40
  5. Step 5: Solve for x
    x = 14,134,586.40/3,842.40
  6. Step 6: Final answer
    x = 3,678.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.