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Finding the Fourth Proportional to 4,692.54, 6,475.70 and 2,924.15

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Solution

The fourth proportional to 4,692.54, 6,475.70 and 2,924.15 is: 4,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.54 : 6,475.70 = 2,924.15 : x
  2. Step 2: Convert to fraction form
    4,692.54/6,475.70 = 2,924.15/x
  3. Step 3: Cross multiply
    4,692.54x = 6,475.70 × 2,924.15
  4. Step 4: Simplify right side
    4,692.54x = 18,935,925.47
  5. Step 5: Solve for x
    x = 18,935,925.47/4,692.54
  6. Step 6: Final answer
    x = 4,035.33

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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.