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Finding the Fourth Proportional to 4,969.04, 7,410.22 and 4,409.60

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Solution

The fourth proportional to 4,969.04, 7,410.22 and 4,409.60 is: 6,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.04 : 7,410.22 = 4,409.60 : x
  2. Step 2: Convert to fraction form
    4,969.04/7,410.22 = 4,409.60/x
  3. Step 3: Cross multiply
    4,969.04x = 7,410.22 × 4,409.60
  4. Step 4: Simplify right side
    4,969.04x = 32,676,106.11
  5. Step 5: Solve for x
    x = 32,676,106.11/4,969.04
  6. Step 6: Final answer
    x = 6,575.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.