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Finding the Fourth Proportional to 4,946.41, 7,408.95 and 4,655.62

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Solution

The fourth proportional to 4,946.41, 7,408.95 and 4,655.62 is: 6,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.41 : 7,408.95 = 4,655.62 : x
  2. Step 2: Convert to fraction form
    4,946.41/7,408.95 = 4,655.62/x
  3. Step 3: Cross multiply
    4,946.41x = 7,408.95 × 4,655.62
  4. Step 4: Simplify right side
    4,946.41x = 34,493,255.80
  5. Step 5: Solve for x
    x = 34,493,255.80/4,946.41
  6. Step 6: Final answer
    x = 6,973.39

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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.