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Finding the Fourth Proportional to 4,667.01, 7,001.53 and 3,430.67

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Solution

The fourth proportional to 4,667.01, 7,001.53 and 3,430.67 is: 5,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.01 : 7,001.53 = 3,430.67 : x
  2. Step 2: Convert to fraction form
    4,667.01/7,001.53 = 3,430.67/x
  3. Step 3: Cross multiply
    4,667.01x = 7,001.53 × 3,430.67
  4. Step 4: Simplify right side
    4,667.01x = 24,019,903.92
  5. Step 5: Solve for x
    x = 24,019,903.92/4,667.01
  6. Step 6: Final answer
    x = 5,146.75

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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.