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Finding the Fourth Proportional to 4,935.71, 7,406.58 and 2,597.39

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Solution

The fourth proportional to 4,935.71, 7,406.58 and 2,597.39 is: 3,897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.71 : 7,406.58 = 2,597.39 : x
  2. Step 2: Convert to fraction form
    4,935.71/7,406.58 = 2,597.39/x
  3. Step 3: Cross multiply
    4,935.71x = 7,406.58 × 2,597.39
  4. Step 4: Simplify right side
    4,935.71x = 19,237,739.79
  5. Step 5: Solve for x
    x = 19,237,739.79/4,935.71
  6. Step 6: Final answer
    x = 3,897.67

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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.