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Finding the Fourth Proportional to 4,762.40, 6,558.60 and 4,660.64

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Solution

The fourth proportional to 4,762.40, 6,558.60 and 4,660.64 is: 6,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.40 : 6,558.60 = 4,660.64 : x
  2. Step 2: Convert to fraction form
    4,762.40/6,558.60 = 4,660.64/x
  3. Step 3: Cross multiply
    4,762.40x = 6,558.60 × 4,660.64
  4. Step 4: Simplify right side
    4,762.40x = 30,567,273.50
  5. Step 5: Solve for x
    x = 30,567,273.50/4,762.40
  6. Step 6: Final answer
    x = 6,418.46

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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.