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Finding the Fourth Proportional to 5,852.84, 8,776.93 and 2,343.74

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Solution

The fourth proportional to 5,852.84, 8,776.93 and 2,343.74 is: 3,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.84 : 8,776.93 = 2,343.74 : x
  2. Step 2: Convert to fraction form
    5,852.84/8,776.93 = 2,343.74/x
  3. Step 3: Cross multiply
    5,852.84x = 8,776.93 × 2,343.74
  4. Step 4: Simplify right side
    5,852.84x = 20,570,803.16
  5. Step 5: Solve for x
    x = 20,570,803.16/5,852.84
  6. Step 6: Final answer
    x = 3,514.67

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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.