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Finding the Fourth Proportional to 5,230.45, 7,846.80 and 1,532.40

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Solution

The fourth proportional to 5,230.45, 7,846.80 and 1,532.40 is: 2,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.45 : 7,846.80 = 1,532.40 : x
  2. Step 2: Convert to fraction form
    5,230.45/7,846.80 = 1,532.40/x
  3. Step 3: Cross multiply
    5,230.45x = 7,846.80 × 1,532.40
  4. Step 4: Simplify right side
    5,230.45x = 12,024,436.32
  5. Step 5: Solve for x
    x = 12,024,436.32/5,230.45
  6. Step 6: Final answer
    x = 2,298.93

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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.