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Finding the Fourth Proportional to 3,500, 4,826.68 and 2,510.16

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Solution

The fourth proportional to 3,500, 4,826.68 and 2,510.16 is: 3,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500 : 4,826.68 = 2,510.16 : x
  2. Step 2: Convert to fraction form
    3,500/4,826.68 = 2,510.16/x
  3. Step 3: Cross multiply
    3,500x = 4,826.68 × 2,510.16
  4. Step 4: Simplify right side
    3,500x = 12,115,739.07
  5. Step 5: Solve for x
    x = 12,115,739.07/3,500
  6. Step 6: Final answer
    x = 3,461.64

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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.