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Finding the Fourth Proportional to 5,734.95, 7,914.55 and 4,316.08

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Solution

The fourth proportional to 5,734.95, 7,914.55 and 4,316.08 is: 5,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.95 : 7,914.55 = 4,316.08 : x
  2. Step 2: Convert to fraction form
    5,734.95/7,914.55 = 4,316.08/x
  3. Step 3: Cross multiply
    5,734.95x = 7,914.55 × 4,316.08
  4. Step 4: Simplify right side
    5,734.95x = 34,159,830.96
  5. Step 5: Solve for x
    x = 34,159,830.96/5,734.95
  6. Step 6: Final answer
    x = 5,956.43

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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.