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Finding the Fourth Proportional to 4,338.94, 6,507.73 and 1,417.23

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Solution

The fourth proportional to 4,338.94, 6,507.73 and 1,417.23 is: 2,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.94 : 6,507.73 = 1,417.23 : x
  2. Step 2: Convert to fraction form
    4,338.94/6,507.73 = 1,417.23/x
  3. Step 3: Cross multiply
    4,338.94x = 6,507.73 × 1,417.23
  4. Step 4: Simplify right side
    4,338.94x = 9,222,950.19
  5. Step 5: Solve for x
    x = 9,222,950.19/4,338.94
  6. Step 6: Final answer
    x = 2,125.62

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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.