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Finding the Fourth Proportional to 5,294.58, 7,305.54 and 3,430.50

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Solution

The fourth proportional to 5,294.58, 7,305.54 and 3,430.50 is: 4,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.58 : 7,305.54 = 3,430.50 : x
  2. Step 2: Convert to fraction form
    5,294.58/7,305.54 = 3,430.50/x
  3. Step 3: Cross multiply
    5,294.58x = 7,305.54 × 3,430.50
  4. Step 4: Simplify right side
    5,294.58x = 25,061,654.97
  5. Step 5: Solve for x
    x = 25,061,654.97/5,294.58
  6. Step 6: Final answer
    x = 4,733.45

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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.