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Finding the Fourth Proportional to 5,821.80, 8,718.12 and 4,646.76

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Solution

The fourth proportional to 5,821.80, 8,718.12 and 4,646.76 is: 6,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.80 : 8,718.12 = 4,646.76 : x
  2. Step 2: Convert to fraction form
    5,821.80/8,718.12 = 4,646.76/x
  3. Step 3: Cross multiply
    5,821.80x = 8,718.12 × 4,646.76
  4. Step 4: Simplify right side
    5,821.80x = 40,511,011.29
  5. Step 5: Solve for x
    x = 40,511,011.29/5,821.80
  6. Step 6: Final answer
    x = 6,958.50

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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.