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Finding the Fourth Proportional to 3,430.84, 4,731.94 and 2,953.10

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Solution

The fourth proportional to 3,430.84, 4,731.94 and 2,953.10 is: 4,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.84 : 4,731.94 = 2,953.10 : x
  2. Step 2: Convert to fraction form
    3,430.84/4,731.94 = 2,953.10/x
  3. Step 3: Cross multiply
    3,430.84x = 4,731.94 × 2,953.10
  4. Step 4: Simplify right side
    3,430.84x = 13,973,917.14
  5. Step 5: Solve for x
    x = 13,973,917.14/3,430.84
  6. Step 6: Final answer
    x = 4,073.04

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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.