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Finding the Fourth Proportional to 4,670.34, 7,004.53 and 2,071.62

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Solution

The fourth proportional to 4,670.34, 7,004.53 and 2,071.62 is: 3,107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.34 : 7,004.53 = 2,071.62 : x
  2. Step 2: Convert to fraction form
    4,670.34/7,004.53 = 2,071.62/x
  3. Step 3: Cross multiply
    4,670.34x = 7,004.53 × 2,071.62
  4. Step 4: Simplify right side
    4,670.34x = 14,510,724.44
  5. Step 5: Solve for x
    x = 14,510,724.44/4,670.34
  6. Step 6: Final answer
    x = 3,107.00

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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.