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Finding the Fourth Proportional to 5,230.25, 7,844.69 and 2,307.87

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Solution

The fourth proportional to 5,230.25, 7,844.69 and 2,307.87 is: 3,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.25 : 7,844.69 = 2,307.87 : x
  2. Step 2: Convert to fraction form
    5,230.25/7,844.69 = 2,307.87/x
  3. Step 3: Cross multiply
    5,230.25x = 7,844.69 × 2,307.87
  4. Step 4: Simplify right side
    5,230.25x = 18,104,492.19
  5. Step 5: Solve for x
    x = 18,104,492.19/5,230.25
  6. Step 6: Final answer
    x = 3,461.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.