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Finding the Fourth Proportional to 3,457.93, 4,770.58 and 2,129.33

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Solution

The fourth proportional to 3,457.93, 4,770.58 and 2,129.33 is: 2,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.93 : 4,770.58 = 2,129.33 : x
  2. Step 2: Convert to fraction form
    3,457.93/4,770.58 = 2,129.33/x
  3. Step 3: Cross multiply
    3,457.93x = 4,770.58 × 2,129.33
  4. Step 4: Simplify right side
    3,457.93x = 10,158,139.11
  5. Step 5: Solve for x
    x = 10,158,139.11/3,457.93
  6. Step 6: Final answer
    x = 2,937.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.