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Finding the Fourth Proportional to 5,582.66, 7,705.68 and 4,471.34

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Solution

The fourth proportional to 5,582.66, 7,705.68 and 4,471.34 is: 6,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.66 : 7,705.68 = 4,471.34 : x
  2. Step 2: Convert to fraction form
    5,582.66/7,705.68 = 4,471.34/x
  3. Step 3: Cross multiply
    5,582.66x = 7,705.68 × 4,471.34
  4. Step 4: Simplify right side
    5,582.66x = 34,454,715.21
  5. Step 5: Solve for x
    x = 34,454,715.21/5,582.66
  6. Step 6: Final answer
    x = 6,171.74

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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.