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Finding the Fourth Proportional to 4,547.63, 6,821.45 and 1,469.63

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Solution

The fourth proportional to 4,547.63, 6,821.45 and 1,469.63 is: 2,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.63 : 6,821.45 = 1,469.63 : x
  2. Step 2: Convert to fraction form
    4,547.63/6,821.45 = 1,469.63/x
  3. Step 3: Cross multiply
    4,547.63x = 6,821.45 × 1,469.63
  4. Step 4: Simplify right side
    4,547.63x = 10,024,966.11
  5. Step 5: Solve for x
    x = 10,024,966.11/4,547.63
  6. Step 6: Final answer
    x = 2,204.44

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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.