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Finding the Fourth Proportional to 3,658.47, 5,488.94 and 1,160.07

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Solution

The fourth proportional to 3,658.47, 5,488.94 and 1,160.07 is: 1,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.47 : 5,488.94 = 1,160.07 : x
  2. Step 2: Convert to fraction form
    3,658.47/5,488.94 = 1,160.07/x
  3. Step 3: Cross multiply
    3,658.47x = 5,488.94 × 1,160.07
  4. Step 4: Simplify right side
    3,658.47x = 6,367,527.18
  5. Step 5: Solve for x
    x = 6,367,527.18/3,658.47
  6. Step 6: Final answer
    x = 1,740.49

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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.