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Finding the Fourth Proportional to 5,673.40, 8,510.10 and 5,349.40

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Solution

The fourth proportional to 5,673.40, 8,510.10 and 5,349.40 is: 8,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.40 : 8,510.10 = 5,349.40 : x
  2. Step 2: Convert to fraction form
    5,673.40/8,510.10 = 5,349.40/x
  3. Step 3: Cross multiply
    5,673.40x = 8,510.10 × 5,349.40
  4. Step 4: Simplify right side
    5,673.40x = 45,523,928.94
  5. Step 5: Solve for x
    x = 45,523,928.94/5,673.40
  6. Step 6: Final answer
    x = 8,024.10

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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.