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Finding the Fourth Proportional to 4,692.90, 7,035.30 and 2,384.40

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Solution

The fourth proportional to 4,692.90, 7,035.30 and 2,384.40 is: 3,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.90 : 7,035.30 = 2,384.40 : x
  2. Step 2: Convert to fraction form
    4,692.90/7,035.30 = 2,384.40/x
  3. Step 3: Cross multiply
    4,692.90x = 7,035.30 × 2,384.40
  4. Step 4: Simplify right side
    4,692.90x = 16,774,969.32
  5. Step 5: Solve for x
    x = 16,774,969.32/4,692.90
  6. Step 6: Final answer
    x = 3,574.54

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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.