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Finding the Fourth Proportional to 4,602.54, 6,348.08 and 2,922.49

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Solution

The fourth proportional to 4,602.54, 6,348.08 and 2,922.49 is: 4,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.54 : 6,348.08 = 2,922.49 : x
  2. Step 2: Convert to fraction form
    4,602.54/6,348.08 = 2,922.49/x
  3. Step 3: Cross multiply
    4,602.54x = 6,348.08 × 2,922.49
  4. Step 4: Simplify right side
    4,602.54x = 18,552,200.32
  5. Step 5: Solve for x
    x = 18,552,200.32/4,602.54
  6. Step 6: Final answer
    x = 4,030.86

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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.