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Finding the Fourth Proportional to 4,704.01, 7,054.76 and 1,417.23

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Solution

The fourth proportional to 4,704.01, 7,054.76 and 1,417.23 is: 2,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.01 : 7,054.76 = 1,417.23 : x
  2. Step 2: Convert to fraction form
    4,704.01/7,054.76 = 1,417.23/x
  3. Step 3: Cross multiply
    4,704.01x = 7,054.76 × 1,417.23
  4. Step 4: Simplify right side
    4,704.01x = 9,998,221.06
  5. Step 5: Solve for x
    x = 9,998,221.06/4,704.01
  6. Step 6: Final answer
    x = 2,125.47

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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.