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Finding the Fourth Proportional to 4,667.47, 7,002.50 and 2,035.20

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Solution

The fourth proportional to 4,667.47, 7,002.50 and 2,035.20 is: 3,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.47 : 7,002.50 = 2,035.20 : x
  2. Step 2: Convert to fraction form
    4,667.47/7,002.50 = 2,035.20/x
  3. Step 3: Cross multiply
    4,667.47x = 7,002.50 × 2,035.20
  4. Step 4: Simplify right side
    4,667.47x = 14,251,482.91
  5. Step 5: Solve for x
    x = 14,251,482.91/4,667.47
  6. Step 6: Final answer
    x = 3,053.37

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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.