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Finding the Fourth Proportional to 3,313.44, 4,970.64 and 1,005.60

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Solution

The fourth proportional to 3,313.44, 4,970.64 and 1,005.60 is: 1,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.44 : 4,970.64 = 1,005.60 : x
  2. Step 2: Convert to fraction form
    3,313.44/4,970.64 = 1,005.60/x
  3. Step 3: Cross multiply
    3,313.44x = 4,970.64 × 1,005.60
  4. Step 4: Simplify right side
    3,313.44x = 4,998,475.58
  5. Step 5: Solve for x
    x = 4,998,475.58/3,313.44
  6. Step 6: Final answer
    x = 1,508.55

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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.