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Finding the Fourth Proportional to 3,313.64, 4,963.98 and 2,851.40

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Solution

The fourth proportional to 3,313.64, 4,963.98 and 2,851.40 is: 4,271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.64 : 4,963.98 = 2,851.40 : x
  2. Step 2: Convert to fraction form
    3,313.64/4,963.98 = 2,851.40/x
  3. Step 3: Cross multiply
    3,313.64x = 4,963.98 × 2,851.40
  4. Step 4: Simplify right side
    3,313.64x = 14,154,292.57
  5. Step 5: Solve for x
    x = 14,154,292.57/3,313.64
  6. Step 6: Final answer
    x = 4,271.52

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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.