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Finding the Fourth Proportional to 5,754.34, 7,945.59 and 5,312.08

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Solution

The fourth proportional to 5,754.34, 7,945.59 and 5,312.08 is: 7,334.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.34 : 7,945.59 = 5,312.08 : x
  2. Step 2: Convert to fraction form
    5,754.34/7,945.59 = 5,312.08/x
  3. Step 3: Cross multiply
    5,754.34x = 7,945.59 × 5,312.08
  4. Step 4: Simplify right side
    5,754.34x = 42,207,609.73
  5. Step 5: Solve for x
    x = 42,207,609.73/5,754.34
  6. Step 6: Final answer
    x = 7,334.92

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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.