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Finding the Fourth Proportional to 5,152.98, 7,730.81 and 2,381.64

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Solution

The fourth proportional to 5,152.98, 7,730.81 and 2,381.64 is: 3,573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.98 : 7,730.81 = 2,381.64 : x
  2. Step 2: Convert to fraction form
    5,152.98/7,730.81 = 2,381.64/x
  3. Step 3: Cross multiply
    5,152.98x = 7,730.81 × 2,381.64
  4. Step 4: Simplify right side
    5,152.98x = 18,411,974.36
  5. Step 5: Solve for x
    x = 18,411,974.36/5,152.98
  6. Step 6: Final answer
    x = 3,573.07

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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.