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Finding the Fourth Proportional to 3,897.45, 5,846.21 and 975.77

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Solution

The fourth proportional to 3,897.45, 5,846.21 and 975.77 is: 1,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.45 : 5,846.21 = 975.77 : x
  2. Step 2: Convert to fraction form
    3,897.45/5,846.21 = 975.77/x
  3. Step 3: Cross multiply
    3,897.45x = 5,846.21 × 975.77
  4. Step 4: Simplify right side
    3,897.45x = 5,704,522.22
  5. Step 5: Solve for x
    x = 5,704,522.22/3,897.45
  6. Step 6: Final answer
    x = 1,463.66

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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.