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Finding the Fourth Proportional to 4,834.86, 6,672.54 and 2,946

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Solution

The fourth proportional to 4,834.86, 6,672.54 and 2,946 is: 4,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.86 : 6,672.54 = 2,946 : x
  2. Step 2: Convert to fraction form
    4,834.86/6,672.54 = 2,946/x
  3. Step 3: Cross multiply
    4,834.86x = 6,672.54 × 2,946
  4. Step 4: Simplify right side
    4,834.86x = 19,657,302.84
  5. Step 5: Solve for x
    x = 19,657,302.84/4,834.86
  6. Step 6: Final answer
    x = 4,065.74

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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.