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Finding the Fourth Proportional to 4,968, 7,438.32 and 3,322.35

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Solution

The fourth proportional to 4,968, 7,438.32 and 3,322.35 is: 4,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968 : 7,438.32 = 3,322.35 : x
  2. Step 2: Convert to fraction form
    4,968/7,438.32 = 3,322.35/x
  3. Step 3: Cross multiply
    4,968x = 7,438.32 × 3,322.35
  4. Step 4: Simplify right side
    4,968x = 24,712,702.45
  5. Step 5: Solve for x
    x = 24,712,702.45/4,968
  6. Step 6: Final answer
    x = 4,974.38

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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.