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Finding the Fourth Proportional to 4,485.60, 6,729.47 and 1,407.60

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Solution

The fourth proportional to 4,485.60, 6,729.47 and 1,407.60 is: 2,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485.60 : 6,729.47 = 1,407.60 : x
  2. Step 2: Convert to fraction form
    4,485.60/6,729.47 = 1,407.60/x
  3. Step 3: Cross multiply
    4,485.60x = 6,729.47 × 1,407.60
  4. Step 4: Simplify right side
    4,485.60x = 9,472,368.32
  5. Step 5: Solve for x
    x = 9,472,368.32/4,485.60
  6. Step 6: Final answer
    x = 2,111.73

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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.