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Finding the Fourth Proportional to 5,659.74, 8,482.50 and 4,016.70

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Solution

The fourth proportional to 5,659.74, 8,482.50 and 4,016.70 is: 6,020.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.74 : 8,482.50 = 4,016.70 : x
  2. Step 2: Convert to fraction form
    5,659.74/8,482.50 = 4,016.70/x
  3. Step 3: Cross multiply
    5,659.74x = 8,482.50 × 4,016.70
  4. Step 4: Simplify right side
    5,659.74x = 34,071,657.75
  5. Step 5: Solve for x
    x = 34,071,657.75/5,659.74
  6. Step 6: Final answer
    x = 6,020.00

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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.