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Finding the Fourth Proportional to 4,926.95, 7,393.51 and 2,005.26

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Solution

The fourth proportional to 4,926.95, 7,393.51 and 2,005.26 is: 3,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.95 : 7,393.51 = 2,005.26 : x
  2. Step 2: Convert to fraction form
    4,926.95/7,393.51 = 2,005.26/x
  3. Step 3: Cross multiply
    4,926.95x = 7,393.51 × 2,005.26
  4. Step 4: Simplify right side
    4,926.95x = 14,825,904.85
  5. Step 5: Solve for x
    x = 14,825,904.85/4,926.95
  6. Step 6: Final answer
    x = 3,009.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.