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Finding the Fourth Proportional to 4,683.44, 6,451.85 and 4,009.10

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Solution

The fourth proportional to 4,683.44, 6,451.85 and 4,009.10 is: 5,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.44 : 6,451.85 = 4,009.10 : x
  2. Step 2: Convert to fraction form
    4,683.44/6,451.85 = 4,009.10/x
  3. Step 3: Cross multiply
    4,683.44x = 6,451.85 × 4,009.10
  4. Step 4: Simplify right side
    4,683.44x = 25,866,111.84
  5. Step 5: Solve for x
    x = 25,866,111.84/4,683.44
  6. Step 6: Final answer
    x = 5,522.89

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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.