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Finding the Fourth Proportional to 4,683.65, 6,458.18 and 3,192.44

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Solution

The fourth proportional to 4,683.65, 6,458.18 and 3,192.44 is: 4,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.65 : 6,458.18 = 3,192.44 : x
  2. Step 2: Convert to fraction form
    4,683.65/6,458.18 = 3,192.44/x
  3. Step 3: Cross multiply
    4,683.65x = 6,458.18 × 3,192.44
  4. Step 4: Simplify right side
    4,683.65x = 20,617,303.91
  5. Step 5: Solve for x
    x = 20,617,303.91/4,683.65
  6. Step 6: Final answer
    x = 4,401.98

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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.