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Finding the Fourth Proportional to 5,117.65, 7,681.74 and 3,174.46

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Solution

The fourth proportional to 5,117.65, 7,681.74 and 3,174.46 is: 4,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.65 : 7,681.74 = 3,174.46 : x
  2. Step 2: Convert to fraction form
    5,117.65/7,681.74 = 3,174.46/x
  3. Step 3: Cross multiply
    5,117.65x = 7,681.74 × 3,174.46
  4. Step 4: Simplify right side
    5,117.65x = 24,385,376.36
  5. Step 5: Solve for x
    x = 24,385,376.36/5,117.65
  6. Step 6: Final answer
    x = 4,764.96

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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.