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Finding the Fourth Proportional to 6,298.57, 8,692.59 and 3,466.51

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Solution

The fourth proportional to 6,298.57, 8,692.59 and 3,466.51 is: 4,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.57 : 8,692.59 = 3,466.51 : x
  2. Step 2: Convert to fraction form
    6,298.57/8,692.59 = 3,466.51/x
  3. Step 3: Cross multiply
    6,298.57x = 8,692.59 × 3,466.51
  4. Step 4: Simplify right side
    6,298.57x = 30,132,950.16
  5. Step 5: Solve for x
    x = 30,132,950.16/6,298.57
  6. Step 6: Final answer
    x = 4,784.09

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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.