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Finding the Fourth Proportional to 4,816.40, 7,223.98 and 1,529.53

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Solution

The fourth proportional to 4,816.40, 7,223.98 and 1,529.53 is: 2,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.40 : 7,223.98 = 1,529.53 : x
  2. Step 2: Convert to fraction form
    4,816.40/7,223.98 = 1,529.53/x
  3. Step 3: Cross multiply
    4,816.40x = 7,223.98 × 1,529.53
  4. Step 4: Simplify right side
    4,816.40x = 11,049,294.13
  5. Step 5: Solve for x
    x = 11,049,294.13/4,816.40
  6. Step 6: Final answer
    x = 2,294.10

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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.