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Finding the Fourth Proportional to 4,670.19, 7,039.53 and 4,604.58

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Solution

The fourth proportional to 4,670.19, 7,039.53 and 4,604.58 is: 6,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.19 : 7,039.53 = 4,604.58 : x
  2. Step 2: Convert to fraction form
    4,670.19/7,039.53 = 4,604.58/x
  3. Step 3: Cross multiply
    4,670.19x = 7,039.53 × 4,604.58
  4. Step 4: Simplify right side
    4,670.19x = 32,414,079.05
  5. Step 5: Solve for x
    x = 32,414,079.05/4,670.19
  6. Step 6: Final answer
    x = 6,940.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.