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Finding the Fourth Proportional to 5,628.93, 7,758.50 and 5,158.23

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Solution

The fourth proportional to 5,628.93, 7,758.50 and 5,158.23 is: 7,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.93 : 7,758.50 = 5,158.23 : x
  2. Step 2: Convert to fraction form
    5,628.93/7,758.50 = 5,158.23/x
  3. Step 3: Cross multiply
    5,628.93x = 7,758.50 × 5,158.23
  4. Step 4: Simplify right side
    5,628.93x = 40,020,101.66
  5. Step 5: Solve for x
    x = 40,020,101.66/5,628.93
  6. Step 6: Final answer
    x = 7,109.72

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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.