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Finding the Fourth Proportional to 4,106.89, 5,673.95 and 3,904.60

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Solution

The fourth proportional to 4,106.89, 5,673.95 and 3,904.60 is: 5,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.89 : 5,673.95 = 3,904.60 : x
  2. Step 2: Convert to fraction form
    4,106.89/5,673.95 = 3,904.60/x
  3. Step 3: Cross multiply
    4,106.89x = 5,673.95 × 3,904.60
  4. Step 4: Simplify right side
    4,106.89x = 22,154,457.28
  5. Step 5: Solve for x
    x = 22,154,457.28/4,106.89
  6. Step 6: Final answer
    x = 5,394.46

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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.