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Finding the Fourth Proportional to 4,689.47, 7,028.10 and 4,193.00

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Solution

The fourth proportional to 4,689.47, 7,028.10 and 4,193.00 is: 6,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.47 : 7,028.10 = 4,193.00 : x
  2. Step 2: Convert to fraction form
    4,689.47/7,028.10 = 4,193.00/x
  3. Step 3: Cross multiply
    4,689.47x = 7,028.10 × 4,193.00
  4. Step 4: Simplify right side
    4,689.47x = 29,468,788.16
  5. Step 5: Solve for x
    x = 29,468,788.16/4,689.47
  6. Step 6: Final answer
    x = 6,284.04

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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.