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Finding the Fourth Proportional to 4,975.95, 7,465.47 and 2,054.49

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Solution

The fourth proportional to 4,975.95, 7,465.47 and 2,054.49 is: 3,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.95 : 7,465.47 = 2,054.49 : x
  2. Step 2: Convert to fraction form
    4,975.95/7,465.47 = 2,054.49/x
  3. Step 3: Cross multiply
    4,975.95x = 7,465.47 × 2,054.49
  4. Step 4: Simplify right side
    4,975.95x = 15,337,733.46
  5. Step 5: Solve for x
    x = 15,337,733.46/4,975.95
  6. Step 6: Final answer
    x = 3,082.37

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