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Finding the Fourth Proportional to 5,897.96, 8,846.94 and 1,515.42

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Solution

The fourth proportional to 5,897.96, 8,846.94 and 1,515.42 is: 2,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.96 : 8,846.94 = 1,515.42 : x
  2. Step 2: Convert to fraction form
    5,897.96/8,846.94 = 1,515.42/x
  3. Step 3: Cross multiply
    5,897.96x = 8,846.94 × 1,515.42
  4. Step 4: Simplify right side
    5,897.96x = 13,406,829.81
  5. Step 5: Solve for x
    x = 13,406,829.81/5,897.96
  6. Step 6: Final answer
    x = 2,273.13

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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.