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Finding the Fourth Proportional to 4,063.48, 6,094.68 and 1,597.64

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Solution

The fourth proportional to 4,063.48, 6,094.68 and 1,597.64 is: 2,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063.48 : 6,094.68 = 1,597.64 : x
  2. Step 2: Convert to fraction form
    4,063.48/6,094.68 = 1,597.64/x
  3. Step 3: Cross multiply
    4,063.48x = 6,094.68 × 1,597.64
  4. Step 4: Simplify right side
    4,063.48x = 9,737,068.09
  5. Step 5: Solve for x
    x = 9,737,068.09/4,063.48
  6. Step 6: Final answer
    x = 2,396.24

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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.