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Finding the Fourth Proportional to 4,670.24, 7,003.61 and 1,549.67

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Solution

The fourth proportional to 4,670.24, 7,003.61 and 1,549.67 is: 2,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.24 : 7,003.61 = 1,549.67 : x
  2. Step 2: Convert to fraction form
    4,670.24/7,003.61 = 1,549.67/x
  3. Step 3: Cross multiply
    4,670.24x = 7,003.61 × 1,549.67
  4. Step 4: Simplify right side
    4,670.24x = 10,853,256.07
  5. Step 5: Solve for x
    x = 10,853,256.07/4,670.24
  6. Step 6: Final answer
    x = 2,323.92

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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.