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Finding the Fourth Proportional to 4,098.77, 6,146.03 and 1,465.26

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Solution

The fourth proportional to 4,098.77, 6,146.03 and 1,465.26 is: 2,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.77 : 6,146.03 = 1,465.26 : x
  2. Step 2: Convert to fraction form
    4,098.77/6,146.03 = 1,465.26/x
  3. Step 3: Cross multiply
    4,098.77x = 6,146.03 × 1,465.26
  4. Step 4: Simplify right side
    4,098.77x = 9,005,524.59
  5. Step 5: Solve for x
    x = 9,005,524.59/4,098.77
  6. Step 6: Final answer
    x = 2,197.13

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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.