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Finding the Fourth Proportional to 5,584, 8,376 and 1,480

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Solution

The fourth proportional to 5,584, 8,376 and 1,480 is: 2,220

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584 : 8,376 = 1,480 : x
  2. Step 2: Convert to fraction form
    5,584/8,376 = 1,480/x
  3. Step 3: Cross multiply
    5,584x = 8,376 × 1,480
  4. Step 4: Simplify right side
    5,584x = 12,396,480
  5. Step 5: Solve for x
    x = 12,396,480/5,584
  6. Step 6: Final answer
    x = 2,220

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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.