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Finding the Fourth Proportional to 4,486.48, 6,730.62 and 1,564

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Solution

The fourth proportional to 4,486.48, 6,730.62 and 1,564 is: 2,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.48 : 6,730.62 = 1,564 : x
  2. Step 2: Convert to fraction form
    4,486.48/6,730.62 = 1,564/x
  3. Step 3: Cross multiply
    4,486.48x = 6,730.62 × 1,564
  4. Step 4: Simplify right side
    4,486.48x = 10,526,689.68
  5. Step 5: Solve for x
    x = 10,526,689.68/4,486.48
  6. Step 6: Final answer
    x = 2,346.31

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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.