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Finding the Fourth Proportional to 4,017.34, 6,024.90 and 1,095.76

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Solution

The fourth proportional to 4,017.34, 6,024.90 and 1,095.76 is: 1,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.34 : 6,024.90 = 1,095.76 : x
  2. Step 2: Convert to fraction form
    4,017.34/6,024.90 = 1,095.76/x
  3. Step 3: Cross multiply
    4,017.34x = 6,024.90 × 1,095.76
  4. Step 4: Simplify right side
    4,017.34x = 6,601,844.42
  5. Step 5: Solve for x
    x = 6,601,844.42/4,017.34
  6. Step 6: Final answer
    x = 1,643.34

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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.