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Finding the Fourth Proportional to 4,346.53, 5,998.10 and 2,357.07

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Solution

The fourth proportional to 4,346.53, 5,998.10 and 2,357.07 is: 3,252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.53 : 5,998.10 = 2,357.07 : x
  2. Step 2: Convert to fraction form
    4,346.53/5,998.10 = 2,357.07/x
  3. Step 3: Cross multiply
    4,346.53x = 5,998.10 × 2,357.07
  4. Step 4: Simplify right side
    4,346.53x = 14,137,907.29
  5. Step 5: Solve for x
    x = 14,137,907.29/4,346.53
  6. Step 6: Final answer
    x = 3,252.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.