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Finding the Fourth Proportional to 4,954.37, 7,430.94 and 2,875.50

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Solution

The fourth proportional to 4,954.37, 7,430.94 and 2,875.50 is: 4,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.37 : 7,430.94 = 2,875.50 : x
  2. Step 2: Convert to fraction form
    4,954.37/7,430.94 = 2,875.50/x
  3. Step 3: Cross multiply
    4,954.37x = 7,430.94 × 2,875.50
  4. Step 4: Simplify right side
    4,954.37x = 21,367,667.97
  5. Step 5: Solve for x
    x = 21,367,667.97/4,954.37
  6. Step 6: Final answer
    x = 4,312.90

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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.