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Finding the Fourth Proportional to 4,599.69, 6,897.83 and 1,825.53

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Solution

The fourth proportional to 4,599.69, 6,897.83 and 1,825.53 is: 2,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.69 : 6,897.83 = 1,825.53 : x
  2. Step 2: Convert to fraction form
    4,599.69/6,897.83 = 1,825.53/x
  3. Step 3: Cross multiply
    4,599.69x = 6,897.83 × 1,825.53
  4. Step 4: Simplify right side
    4,599.69x = 12,592,186.47
  5. Step 5: Solve for x
    x = 12,592,186.47/4,599.69
  6. Step 6: Final answer
    x = 2,737.62

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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.