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Finding the Fourth Proportional to 4,547.88, 6,821.82 and 1,627.02

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Solution

The fourth proportional to 4,547.88, 6,821.82 and 1,627.02 is: 2,440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.88 : 6,821.82 = 1,627.02 : x
  2. Step 2: Convert to fraction form
    4,547.88/6,821.82 = 1,627.02/x
  3. Step 3: Cross multiply
    4,547.88x = 6,821.82 × 1,627.02
  4. Step 4: Simplify right side
    4,547.88x = 11,099,237.58
  5. Step 5: Solve for x
    x = 11,099,237.58/4,547.88
  6. Step 6: Final answer
    x = 2,440.53

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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.