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Finding the Fourth Proportional to 4,522.90, 6,785.32 and 1,402.84

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Solution

The fourth proportional to 4,522.90, 6,785.32 and 1,402.84 is: 2,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.90 : 6,785.32 = 1,402.84 : x
  2. Step 2: Convert to fraction form
    4,522.90/6,785.32 = 1,402.84/x
  3. Step 3: Cross multiply
    4,522.90x = 6,785.32 × 1,402.84
  4. Step 4: Simplify right side
    4,522.90x = 9,518,697.84
  5. Step 5: Solve for x
    x = 9,518,697.84/4,522.90
  6. Step 6: Final answer
    x = 2,104.56

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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.