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Finding the Fourth Proportional to 3,607.44, 5,407.92 and 1,658.04

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Solution

The fourth proportional to 3,607.44, 5,407.92 and 1,658.04 is: 2,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.44 : 5,407.92 = 1,658.04 : x
  2. Step 2: Convert to fraction form
    3,607.44/5,407.92 = 1,658.04/x
  3. Step 3: Cross multiply
    3,607.44x = 5,407.92 × 1,658.04
  4. Step 4: Simplify right side
    3,607.44x = 8,966,547.68
  5. Step 5: Solve for x
    x = 8,966,547.68/3,607.44
  6. Step 6: Final answer
    x = 2,485.57

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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.