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Finding the Fourth Proportional to 6,038.49, 8,332.98 and 3,385.84

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Solution

The fourth proportional to 6,038.49, 8,332.98 and 3,385.84 is: 4,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.49 : 8,332.98 = 3,385.84 : x
  2. Step 2: Convert to fraction form
    6,038.49/8,332.98 = 3,385.84/x
  3. Step 3: Cross multiply
    6,038.49x = 8,332.98 × 3,385.84
  4. Step 4: Simplify right side
    6,038.49x = 28,214,095.34
  5. Step 5: Solve for x
    x = 28,214,095.34/6,038.49
  6. Step 6: Final answer
    x = 4,672.38

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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.