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Finding the Fourth Proportional to 4,697.75, 7,051.41 and 2,359.41

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Solution

The fourth proportional to 4,697.75, 7,051.41 and 2,359.41 is: 3,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.75 : 7,051.41 = 2,359.41 : x
  2. Step 2: Convert to fraction form
    4,697.75/7,051.41 = 2,359.41/x
  3. Step 3: Cross multiply
    4,697.75x = 7,051.41 × 2,359.41
  4. Step 4: Simplify right side
    4,697.75x = 16,637,167.27
  5. Step 5: Solve for x
    x = 16,637,167.27/4,697.75
  6. Step 6: Final answer
    x = 3,541.52

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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.