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Finding the Fourth Proportional to 4,095.63, 6,143.44 and 1,017.63

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Solution

The fourth proportional to 4,095.63, 6,143.44 and 1,017.63 is: 1,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.63 : 6,143.44 = 1,017.63 : x
  2. Step 2: Convert to fraction form
    4,095.63/6,143.44 = 1,017.63/x
  3. Step 3: Cross multiply
    4,095.63x = 6,143.44 × 1,017.63
  4. Step 4: Simplify right side
    4,095.63x = 6,251,748.85
  5. Step 5: Solve for x
    x = 6,251,748.85/4,095.63
  6. Step 6: Final answer
    x = 1,526.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.