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Finding the Fourth Proportional to 5,188.72, 7,158.15 and 3,509.51

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Solution

The fourth proportional to 5,188.72, 7,158.15 and 3,509.51 is: 4,841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.72 : 7,158.15 = 3,509.51 : x
  2. Step 2: Convert to fraction form
    5,188.72/7,158.15 = 3,509.51/x
  3. Step 3: Cross multiply
    5,188.72x = 7,158.15 × 3,509.51
  4. Step 4: Simplify right side
    5,188.72x = 25,121,599.01
  5. Step 5: Solve for x
    x = 25,121,599.01/5,188.72
  6. Step 6: Final answer
    x = 4,841.58

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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.