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Finding the Fourth Proportional to 3,878.48, 5,353.62 and 2,386.46

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Solution

The fourth proportional to 3,878.48, 5,353.62 and 2,386.46 is: 3,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.48 : 5,353.62 = 2,386.46 : x
  2. Step 2: Convert to fraction form
    3,878.48/5,353.62 = 2,386.46/x
  3. Step 3: Cross multiply
    3,878.48x = 5,353.62 × 2,386.46
  4. Step 4: Simplify right side
    3,878.48x = 12,776,199.99
  5. Step 5: Solve for x
    x = 12,776,199.99/3,878.48
  6. Step 6: Final answer
    x = 3,294.13

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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.