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Finding the Fourth Proportional to 3,585.76, 4,952.10 and 2,469.58

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Solution

The fourth proportional to 3,585.76, 4,952.10 and 2,469.58 is: 3,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.76 : 4,952.10 = 2,469.58 : x
  2. Step 2: Convert to fraction form
    3,585.76/4,952.10 = 2,469.58/x
  3. Step 3: Cross multiply
    3,585.76x = 4,952.10 × 2,469.58
  4. Step 4: Simplify right side
    3,585.76x = 12,229,607.12
  5. Step 5: Solve for x
    x = 12,229,607.12/3,585.76
  6. Step 6: Final answer
    x = 3,410.60

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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.