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Finding the Fourth Proportional to 4,701.44, 6,485.48 and 3,815.68

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Solution

The fourth proportional to 4,701.44, 6,485.48 and 3,815.68 is: 5,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.44 : 6,485.48 = 3,815.68 : x
  2. Step 2: Convert to fraction form
    4,701.44/6,485.48 = 3,815.68/x
  3. Step 3: Cross multiply
    4,701.44x = 6,485.48 × 3,815.68
  4. Step 4: Simplify right side
    4,701.44x = 24,746,516.33
  5. Step 5: Solve for x
    x = 24,746,516.33/4,701.44
  6. Step 6: Final answer
    x = 5,263.60

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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.