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Finding the Fourth Proportional to 4,684.32, 7,024.14 and 2,905.56

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Solution

The fourth proportional to 4,684.32, 7,024.14 and 2,905.56 is: 4,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.32 : 7,024.14 = 2,905.56 : x
  2. Step 2: Convert to fraction form
    4,684.32/7,024.14 = 2,905.56/x
  3. Step 3: Cross multiply
    4,684.32x = 7,024.14 × 2,905.56
  4. Step 4: Simplify right side
    4,684.32x = 20,409,060.22
  5. Step 5: Solve for x
    x = 20,409,060.22/4,684.32
  6. Step 6: Final answer
    x = 4,356.89

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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.