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Finding the Fourth Proportional to 3,515.34, 4,852.08 and 2,023.42

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Solution

The fourth proportional to 3,515.34, 4,852.08 and 2,023.42 is: 2,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.34 : 4,852.08 = 2,023.42 : x
  2. Step 2: Convert to fraction form
    3,515.34/4,852.08 = 2,023.42/x
  3. Step 3: Cross multiply
    3,515.34x = 4,852.08 × 2,023.42
  4. Step 4: Simplify right side
    3,515.34x = 9,817,795.71
  5. Step 5: Solve for x
    x = 9,817,795.71/3,515.34
  6. Step 6: Final answer
    x = 2,792.84

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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.