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Finding the Fourth Proportional to 4,667.70, 7,002.75 and 1,746.02

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Solution

The fourth proportional to 4,667.70, 7,002.75 and 1,746.02 is: 2,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.70 : 7,002.75 = 1,746.02 : x
  2. Step 2: Convert to fraction form
    4,667.70/7,002.75 = 1,746.02/x
  3. Step 3: Cross multiply
    4,667.70x = 7,002.75 × 1,746.02
  4. Step 4: Simplify right side
    4,667.70x = 12,226,941.56
  5. Step 5: Solve for x
    x = 12,226,941.56/4,667.70
  6. Step 6: Final answer
    x = 2,619.48

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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.