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Finding the Fourth Proportional to 3,810.47, 5,717.52 and 1,346.45

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Solution

The fourth proportional to 3,810.47, 5,717.52 and 1,346.45 is: 2,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.47 : 5,717.52 = 1,346.45 : x
  2. Step 2: Convert to fraction form
    3,810.47/5,717.52 = 1,346.45/x
  3. Step 3: Cross multiply
    3,810.47x = 5,717.52 × 1,346.45
  4. Step 4: Simplify right side
    3,810.47x = 7,698,349.95
  5. Step 5: Solve for x
    x = 7,698,349.95/3,810.47
  6. Step 6: Final answer
    x = 2,020.32

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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.