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Finding the Fourth Proportional to 3,411, 4,705.36 and 2,290.04

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Solution

The fourth proportional to 3,411, 4,705.36 and 2,290.04 is: 3,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411 : 4,705.36 = 2,290.04 : x
  2. Step 2: Convert to fraction form
    3,411/4,705.36 = 2,290.04/x
  3. Step 3: Cross multiply
    3,411x = 4,705.36 × 2,290.04
  4. Step 4: Simplify right side
    3,411x = 10,775,462.61
  5. Step 5: Solve for x
    x = 10,775,462.61/3,411
  6. Step 6: Final answer
    x = 3,159.03

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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.