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Finding the Fourth Proportional to 4,656.98, 6,424.49 and 4,126.40

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Solution

The fourth proportional to 4,656.98, 6,424.49 and 4,126.40 is: 5,692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.98 : 6,424.49 = 4,126.40 : x
  2. Step 2: Convert to fraction form
    4,656.98/6,424.49 = 4,126.40/x
  3. Step 3: Cross multiply
    4,656.98x = 6,424.49 × 4,126.40
  4. Step 4: Simplify right side
    4,656.98x = 26,509,962.78
  5. Step 5: Solve for x
    x = 26,509,962.78/4,656.98
  6. Step 6: Final answer
    x = 5,692.53

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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.