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Finding the Fourth Proportional to 5,897.04, 8,145 and 5,120.79

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Solution

The fourth proportional to 5,897.04, 8,145 and 5,120.79 is: 7,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.04 : 8,145 = 5,120.79 : x
  2. Step 2: Convert to fraction form
    5,897.04/8,145 = 5,120.79/x
  3. Step 3: Cross multiply
    5,897.04x = 8,145 × 5,120.79
  4. Step 4: Simplify right side
    5,897.04x = 41,708,834.55
  5. Step 5: Solve for x
    x = 41,708,834.55/5,897.04
  6. Step 6: Final answer
    x = 7,072.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.