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Finding the Fourth Proportional to 5,381.70, 7,426.64 and 3,285.82

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Solution

The fourth proportional to 5,381.70, 7,426.64 and 3,285.82 is: 4,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.70 : 7,426.64 = 3,285.82 : x
  2. Step 2: Convert to fraction form
    5,381.70/7,426.64 = 3,285.82/x
  3. Step 3: Cross multiply
    5,381.70x = 7,426.64 × 3,285.82
  4. Step 4: Simplify right side
    5,381.70x = 24,402,602.24
  5. Step 5: Solve for x
    x = 24,402,602.24/5,381.70
  6. Step 6: Final answer
    x = 4,534.37

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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.