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Finding the Fourth Proportional to 4,706, 6,494.28 and 2,610.56

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Solution

The fourth proportional to 4,706, 6,494.28 and 2,610.56 is: 3,602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706 : 6,494.28 = 2,610.56 : x
  2. Step 2: Convert to fraction form
    4,706/6,494.28 = 2,610.56/x
  3. Step 3: Cross multiply
    4,706x = 6,494.28 × 2,610.56
  4. Step 4: Simplify right side
    4,706x = 16,953,707.60
  5. Step 5: Solve for x
    x = 16,953,707.60/4,706
  6. Step 6: Final answer
    x = 3,602.57

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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.