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Finding the Fourth Proportional to 4,657.48, 6,977.90 and 4,542.60

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Solution

The fourth proportional to 4,657.48, 6,977.90 and 4,542.60 is: 6,805.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.48 : 6,977.90 = 4,542.60 : x
  2. Step 2: Convert to fraction form
    4,657.48/6,977.90 = 4,542.60/x
  3. Step 3: Cross multiply
    4,657.48x = 6,977.90 × 4,542.60
  4. Step 4: Simplify right side
    4,657.48x = 31,697,808.54
  5. Step 5: Solve for x
    x = 31,697,808.54/4,657.48
  6. Step 6: Final answer
    x = 6,805.79

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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.