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Finding the Fourth Proportional to 4,598.32, 6,893.60 and 2,098.62

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Solution

The fourth proportional to 4,598.32, 6,893.60 and 2,098.62 is: 3,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.32 : 6,893.60 = 2,098.62 : x
  2. Step 2: Convert to fraction form
    4,598.32/6,893.60 = 2,098.62/x
  3. Step 3: Cross multiply
    4,598.32x = 6,893.60 × 2,098.62
  4. Step 4: Simplify right side
    4,598.32x = 14,467,046.83
  5. Step 5: Solve for x
    x = 14,467,046.83/4,598.32
  6. Step 6: Final answer
    x = 3,146.16

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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.