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Finding the Fourth Proportional to 4,108.04, 6,158.16 and 1,509

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Solution

The fourth proportional to 4,108.04, 6,158.16 and 1,509 is: 2,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.04 : 6,158.16 = 1,509 : x
  2. Step 2: Convert to fraction form
    4,108.04/6,158.16 = 1,509/x
  3. Step 3: Cross multiply
    4,108.04x = 6,158.16 × 1,509
  4. Step 4: Simplify right side
    4,108.04x = 9,292,663.44
  5. Step 5: Solve for x
    x = 9,292,663.44/4,108.04
  6. Step 6: Final answer
    x = 2,262.07

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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.