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Finding the Fourth Proportional to 3,913.36, 5,871 and 1,140.06

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Solution

The fourth proportional to 3,913.36, 5,871 and 1,140.06 is: 1,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.36 : 5,871 = 1,140.06 : x
  2. Step 2: Convert to fraction form
    3,913.36/5,871 = 1,140.06/x
  3. Step 3: Cross multiply
    3,913.36x = 5,871 × 1,140.06
  4. Step 4: Simplify right side
    3,913.36x = 6,693,292.26
  5. Step 5: Solve for x
    x = 6,693,292.26/3,913.36
  6. Step 6: Final answer
    x = 1,710.37

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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.