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Finding the Fourth Proportional to 5,473.84, 7,535.28 and 4,145.44

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Solution

The fourth proportional to 5,473.84, 7,535.28 and 4,145.44 is: 5,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.84 : 7,535.28 = 4,145.44 : x
  2. Step 2: Convert to fraction form
    5,473.84/7,535.28 = 4,145.44/x
  3. Step 3: Cross multiply
    5,473.84x = 7,535.28 × 4,145.44
  4. Step 4: Simplify right side
    5,473.84x = 31,237,051.12
  5. Step 5: Solve for x
    x = 31,237,051.12/5,473.84
  6. Step 6: Final answer
    x = 5,706.61

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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.