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Finding the Fourth Proportional to 4,608.50, 6,913.30 and 1,530.50

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Solution

The fourth proportional to 4,608.50, 6,913.30 and 1,530.50 is: 2,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.50 : 6,913.30 = 1,530.50 : x
  2. Step 2: Convert to fraction form
    4,608.50/6,913.30 = 1,530.50/x
  3. Step 3: Cross multiply
    4,608.50x = 6,913.30 × 1,530.50
  4. Step 4: Simplify right side
    4,608.50x = 10,580,805.65
  5. Step 5: Solve for x
    x = 10,580,805.65/4,608.50
  6. Step 6: Final answer
    x = 2,295.93

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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.