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Finding the Fourth Proportional to 4,298.58, 6,436.98 and 3,603.42

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Solution

The fourth proportional to 4,298.58, 6,436.98 and 3,603.42 is: 5,396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.58 : 6,436.98 = 3,603.42 : x
  2. Step 2: Convert to fraction form
    4,298.58/6,436.98 = 3,603.42/x
  3. Step 3: Cross multiply
    4,298.58x = 6,436.98 × 3,603.42
  4. Step 4: Simplify right side
    4,298.58x = 23,195,142.47
  5. Step 5: Solve for x
    x = 23,195,142.47/4,298.58
  6. Step 6: Final answer
    x = 5,396.00

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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.