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Finding the Fourth Proportional to 3,607.74, 5,409.76 and 1,658.25

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Solution

The fourth proportional to 3,607.74, 5,409.76 and 1,658.25 is: 2,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.74 : 5,409.76 = 1,658.25 : x
  2. Step 2: Convert to fraction form
    3,607.74/5,409.76 = 1,658.25/x
  3. Step 3: Cross multiply
    3,607.74x = 5,409.76 × 1,658.25
  4. Step 4: Simplify right side
    3,607.74x = 8,970,734.52
  5. Step 5: Solve for x
    x = 8,970,734.52/3,607.74
  6. Step 6: Final answer
    x = 2,486.52

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1.5x scale

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.