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Finding the Fourth Proportional to 4,692.34, 6,475.43 and 2,702.90

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Solution

The fourth proportional to 4,692.34, 6,475.43 and 2,702.90 is: 3,730.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.34 : 6,475.43 = 2,702.90 : x
  2. Step 2: Convert to fraction form
    4,692.34/6,475.43 = 2,702.90/x
  3. Step 3: Cross multiply
    4,692.34x = 6,475.43 × 2,702.90
  4. Step 4: Simplify right side
    4,692.34x = 17,502,439.75
  5. Step 5: Solve for x
    x = 17,502,439.75/4,692.34
  6. Step 6: Final answer
    x = 3,730.00

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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.