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Finding the Fourth Proportional to 3,842.47, 5,302.51 and 2,350.40

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Solution

The fourth proportional to 3,842.47, 5,302.51 and 2,350.40 is: 3,243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.47 : 5,302.51 = 2,350.40 : x
  2. Step 2: Convert to fraction form
    3,842.47/5,302.51 = 2,350.40/x
  3. Step 3: Cross multiply
    3,842.47x = 5,302.51 × 2,350.40
  4. Step 4: Simplify right side
    3,842.47x = 12,463,019.50
  5. Step 5: Solve for x
    x = 12,463,019.50/3,842.47
  6. Step 6: Final answer
    x = 3,243.49

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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.