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Finding the Fourth Proportional to 4,834.88, 6,678.24 and 4,204.16

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Solution

The fourth proportional to 4,834.88, 6,678.24 and 4,204.16 is: 5,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.88 : 6,678.24 = 4,204.16 : x
  2. Step 2: Convert to fraction form
    4,834.88/6,678.24 = 4,204.16/x
  3. Step 3: Cross multiply
    4,834.88x = 6,678.24 × 4,204.16
  4. Step 4: Simplify right side
    4,834.88x = 28,076,389.48
  5. Step 5: Solve for x
    x = 28,076,389.48/4,834.88
  6. Step 6: Final answer
    x = 5,807.05

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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.