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Finding the Fourth Proportional to 5,760, 8,640 and 1,656

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Solution

The fourth proportional to 5,760, 8,640 and 1,656 is: 2,484

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760 : 8,640 = 1,656 : x
  2. Step 2: Convert to fraction form
    5,760/8,640 = 1,656/x
  3. Step 3: Cross multiply
    5,760x = 8,640 × 1,656
  4. Step 4: Simplify right side
    5,760x = 14,307,840
  5. Step 5: Solve for x
    x = 14,307,840/5,760
  6. Step 6: Final answer
    x = 2,484

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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.