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Finding the Fourth Proportional to 6,483.54, 8,946.94 and 3,829.98

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Solution

The fourth proportional to 6,483.54, 8,946.94 and 3,829.98 is: 5,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.54 : 8,946.94 = 3,829.98 : x
  2. Step 2: Convert to fraction form
    6,483.54/8,946.94 = 3,829.98/x
  3. Step 3: Cross multiply
    6,483.54x = 8,946.94 × 3,829.98
  4. Step 4: Simplify right side
    6,483.54x = 34,266,582.11
  5. Step 5: Solve for x
    x = 34,266,582.11/6,483.54
  6. Step 6: Final answer
    x = 5,285.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.