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Finding the Fourth Proportional to 4,686.46, 7,030.91 and 1,399.48

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Solution

The fourth proportional to 4,686.46, 7,030.91 and 1,399.48 is: 2,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.46 : 7,030.91 = 1,399.48 : x
  2. Step 2: Convert to fraction form
    4,686.46/7,030.91 = 1,399.48/x
  3. Step 3: Cross multiply
    4,686.46x = 7,030.91 × 1,399.48
  4. Step 4: Simplify right side
    4,686.46x = 9,839,617.93
  5. Step 5: Solve for x
    x = 9,839,617.93/4,686.46
  6. Step 6: Final answer
    x = 2,099.58

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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.