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Finding the Fourth Proportional to 3,395.34, 5,093.82 and 1,315.40

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Solution

The fourth proportional to 3,395.34, 5,093.82 and 1,315.40 is: 1,973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.34 : 5,093.82 = 1,315.40 : x
  2. Step 2: Convert to fraction form
    3,395.34/5,093.82 = 1,315.40/x
  3. Step 3: Cross multiply
    3,395.34x = 5,093.82 × 1,315.40
  4. Step 4: Simplify right side
    3,395.34x = 6,700,385.36
  5. Step 5: Solve for x
    x = 6,700,385.36/3,395.34
  6. Step 6: Final answer
    x = 1,973.41

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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.