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Finding the Fourth Proportional to 5,693.30, 8,530.58 and 3,497.40

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Solution

The fourth proportional to 5,693.30, 8,530.58 and 3,497.40 is: 5,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.30 : 8,530.58 = 3,497.40 : x
  2. Step 2: Convert to fraction form
    5,693.30/8,530.58 = 3,497.40/x
  3. Step 3: Cross multiply
    5,693.30x = 8,530.58 × 3,497.40
  4. Step 4: Simplify right side
    5,693.30x = 29,834,850.49
  5. Step 5: Solve for x
    x = 29,834,850.49/5,693.30
  6. Step 6: Final answer
    x = 5,240.34

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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.