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Finding the Fourth Proportional to 5,312.58, 7,928.69 and 5,174.34

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Solution

The fourth proportional to 5,312.58, 7,928.69 and 5,174.34 is: 7,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.58 : 7,928.69 = 5,174.34 : x
  2. Step 2: Convert to fraction form
    5,312.58/7,928.69 = 5,174.34/x
  3. Step 3: Cross multiply
    5,312.58x = 7,928.69 × 5,174.34
  4. Step 4: Simplify right side
    5,312.58x = 41,025,737.81
  5. Step 5: Solve for x
    x = 41,025,737.81/5,312.58
  6. Step 6: Final answer
    x = 7,722.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.