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Finding the Fourth Proportional to 5,705.60, 8,558.40 and 5,486.90

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Solution

The fourth proportional to 5,705.60, 8,558.40 and 5,486.90 is: 8,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.60 : 8,558.40 = 5,486.90 : x
  2. Step 2: Convert to fraction form
    5,705.60/8,558.40 = 5,486.90/x
  3. Step 3: Cross multiply
    5,705.60x = 8,558.40 × 5,486.90
  4. Step 4: Simplify right side
    5,705.60x = 46,959,084.96
  5. Step 5: Solve for x
    x = 46,959,084.96/5,705.60
  6. Step 6: Final answer
    x = 8,230.35

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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.