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Finding the Fourth Proportional to 5,434.30, 8,139.30 and 4,705.30

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Solution

The fourth proportional to 5,434.30, 8,139.30 and 4,705.30 is: 7,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.30 : 8,139.30 = 4,705.30 : x
  2. Step 2: Convert to fraction form
    5,434.30/8,139.30 = 4,705.30/x
  3. Step 3: Cross multiply
    5,434.30x = 8,139.30 × 4,705.30
  4. Step 4: Simplify right side
    5,434.30x = 38,297,848.29
  5. Step 5: Solve for x
    x = 38,297,848.29/5,434.30
  6. Step 6: Final answer
    x = 7,047.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.