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Finding the Fourth Proportional to 4,977.45, 7,466.18 and 4,734.45

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Solution

The fourth proportional to 4,977.45, 7,466.18 and 4,734.45 is: 7,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.45 : 7,466.18 = 4,734.45 : x
  2. Step 2: Convert to fraction form
    4,977.45/7,466.18 = 4,734.45/x
  3. Step 3: Cross multiply
    4,977.45x = 7,466.18 × 4,734.45
  4. Step 4: Simplify right side
    4,977.45x = 35,348,232.23
  5. Step 5: Solve for x
    x = 35,348,232.23/4,977.45
  6. Step 6: Final answer
    x = 7,101.68

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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.