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Finding the Fourth Proportional to 5,642.80, 8,461.73 and 1,746.29

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Solution

The fourth proportional to 5,642.80, 8,461.73 and 1,746.29 is: 2,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.80 : 8,461.73 = 1,746.29 : x
  2. Step 2: Convert to fraction form
    5,642.80/8,461.73 = 1,746.29/x
  3. Step 3: Cross multiply
    5,642.80x = 8,461.73 × 1,746.29
  4. Step 4: Simplify right side
    5,642.80x = 14,776,660.00
  5. Step 5: Solve for x
    x = 14,776,660.00/5,642.80
  6. Step 6: Final answer
    x = 2,618.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.