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Finding the Fourth Proportional to 4,667.40, 7,002.35 and 1,896.00

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Solution

The fourth proportional to 4,667.40, 7,002.35 and 1,896.00 is: 2,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.40 : 7,002.35 = 1,896.00 : x
  2. Step 2: Convert to fraction form
    4,667.40/7,002.35 = 1,896.00/x
  3. Step 3: Cross multiply
    4,667.40x = 7,002.35 × 1,896.00
  4. Step 4: Simplify right side
    4,667.40x = 13,276,419.86
  5. Step 5: Solve for x
    x = 13,276,419.86/4,667.40
  6. Step 6: Final answer
    x = 2,844.50

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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.