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Finding the Fourth Proportional to 4,485.53, 6,729.38 and 1,407.53

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Solution

The fourth proportional to 4,485.53, 6,729.38 and 1,407.53 is: 2,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485.53 : 6,729.38 = 1,407.53 : x
  2. Step 2: Convert to fraction form
    4,485.53/6,729.38 = 1,407.53/x
  3. Step 3: Cross multiply
    4,485.53x = 6,729.38 × 1,407.53
  4. Step 4: Simplify right side
    4,485.53x = 9,471,804.23
  5. Step 5: Solve for x
    x = 9,471,804.23/4,485.53
  6. Step 6: Final answer
    x = 2,111.64

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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.