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Finding the Fourth Proportional to 5,564, 8,346.48 and 1,460

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Solution

The fourth proportional to 5,564, 8,346.48 and 1,460 is: 2,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564 : 8,346.48 = 1,460 : x
  2. Step 2: Convert to fraction form
    5,564/8,346.48 = 1,460/x
  3. Step 3: Cross multiply
    5,564x = 8,346.48 × 1,460
  4. Step 4: Simplify right side
    5,564x = 12,185,860.80
  5. Step 5: Solve for x
    x = 12,185,860.80/5,564
  6. Step 6: Final answer
    x = 2,190.13

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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.