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Finding the Fourth Proportional to 5,230.65, 7,856.91 and 4,410.53

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Solution

The fourth proportional to 5,230.65, 7,856.91 and 4,410.53 is: 6,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.65 : 7,856.91 = 4,410.53 : x
  2. Step 2: Convert to fraction form
    5,230.65/7,856.91 = 4,410.53/x
  3. Step 3: Cross multiply
    5,230.65x = 7,856.91 × 4,410.53
  4. Step 4: Simplify right side
    5,230.65x = 34,653,097.98
  5. Step 5: Solve for x
    x = 34,653,097.98/5,230.65
  6. Step 6: Final answer
    x = 6,625.01

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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.