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Finding the Fourth Proportional to 4,703.41, 7,055.26 and 1,742.59

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Solution

The fourth proportional to 4,703.41, 7,055.26 and 1,742.59 is: 2,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.41 : 7,055.26 = 1,742.59 : x
  2. Step 2: Convert to fraction form
    4,703.41/7,055.26 = 1,742.59/x
  3. Step 3: Cross multiply
    4,703.41x = 7,055.26 × 1,742.59
  4. Step 4: Simplify right side
    4,703.41x = 12,294,415.04
  5. Step 5: Solve for x
    x = 12,294,415.04/4,703.41
  6. Step 6: Final answer
    x = 2,613.94

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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.