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Finding the Fourth Proportional to 4,461.53, 6,692.39 and 1,689.51

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Solution

The fourth proportional to 4,461.53, 6,692.39 and 1,689.51 is: 2,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.53 : 6,692.39 = 1,689.51 : x
  2. Step 2: Convert to fraction form
    4,461.53/6,692.39 = 1,689.51/x
  3. Step 3: Cross multiply
    4,461.53x = 6,692.39 × 1,689.51
  4. Step 4: Simplify right side
    4,461.53x = 11,306,851.38
  5. Step 5: Solve for x
    x = 11,306,851.38/4,461.53
  6. Step 6: Final answer
    x = 2,534.30

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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.