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Finding the Fourth Proportional to 5,674.89, 7,830.93 and 3,156.94

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Solution

The fourth proportional to 5,674.89, 7,830.93 and 3,156.94 is: 4,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.89 : 7,830.93 = 3,156.94 : x
  2. Step 2: Convert to fraction form
    5,674.89/7,830.93 = 3,156.94/x
  3. Step 3: Cross multiply
    5,674.89x = 7,830.93 × 3,156.94
  4. Step 4: Simplify right side
    5,674.89x = 24,721,721.21
  5. Step 5: Solve for x
    x = 24,721,721.21/5,674.89
  6. Step 6: Final answer
    x = 4,356.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.