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Finding the Fourth Proportional to 5,297, 7,303.22 and 3,405.26

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Solution

The fourth proportional to 5,297, 7,303.22 and 3,405.26 is: 4,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297 : 7,303.22 = 3,405.26 : x
  2. Step 2: Convert to fraction form
    5,297/7,303.22 = 3,405.26/x
  3. Step 3: Cross multiply
    5,297x = 7,303.22 × 3,405.26
  4. Step 4: Simplify right side
    5,297x = 24,869,362.94
  5. Step 5: Solve for x
    x = 24,869,362.94/5,297
  6. Step 6: Final answer
    x = 4,694.99

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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.