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Finding the Fourth Proportional to 4,706.79, 6,494.54 and 2,938.11

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Solution

The fourth proportional to 4,706.79, 6,494.54 and 2,938.11 is: 4,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.79 : 6,494.54 = 2,938.11 : x
  2. Step 2: Convert to fraction form
    4,706.79/6,494.54 = 2,938.11/x
  3. Step 3: Cross multiply
    4,706.79x = 6,494.54 × 2,938.11
  4. Step 4: Simplify right side
    4,706.79x = 19,081,658.23
  5. Step 5: Solve for x
    x = 19,081,658.23/4,706.79
  6. Step 6: Final answer
    x = 4,054.07

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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.