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Finding the Fourth Proportional to 3,585.63, 4,946.02 and 2,257.02

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Solution

The fourth proportional to 3,585.63, 4,946.02 and 2,257.02 is: 3,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.63 : 4,946.02 = 2,257.02 : x
  2. Step 2: Convert to fraction form
    3,585.63/4,946.02 = 2,257.02/x
  3. Step 3: Cross multiply
    3,585.63x = 4,946.02 × 2,257.02
  4. Step 4: Simplify right side
    3,585.63x = 11,163,266.06
  5. Step 5: Solve for x
    x = 11,163,266.06/3,585.63
  6. Step 6: Final answer
    x = 3,113.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.