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Finding the Fourth Proportional to 5,780.06, 8,670.10 and 2,316.50

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Solution

The fourth proportional to 5,780.06, 8,670.10 and 2,316.50 is: 3,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.06 : 8,670.10 = 2,316.50 : x
  2. Step 2: Convert to fraction form
    5,780.06/8,670.10 = 2,316.50/x
  3. Step 3: Cross multiply
    5,780.06x = 8,670.10 × 2,316.50
  4. Step 4: Simplify right side
    5,780.06x = 20,084,286.65
  5. Step 5: Solve for x
    x = 20,084,286.65/5,780.06
  6. Step 6: Final answer
    x = 3,474.75

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Why These Related Problems?

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