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Finding the Fourth Proportional to 4,497.30, 6,733.62 and 3,398.40

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Solution

The fourth proportional to 4,497.30, 6,733.62 and 3,398.40 is: 5,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.30 : 6,733.62 = 3,398.40 : x
  2. Step 2: Convert to fraction form
    4,497.30/6,733.62 = 3,398.40/x
  3. Step 3: Cross multiply
    4,497.30x = 6,733.62 × 3,398.40
  4. Step 4: Simplify right side
    4,497.30x = 22,883,534.21
  5. Step 5: Solve for x
    x = 22,883,534.21/4,497.30
  6. Step 6: Final answer
    x = 5,088.28

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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.