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Finding the Fourth Proportional to 4,573.66, 6,311.80 and 2,804.92

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Solution

The fourth proportional to 4,573.66, 6,311.80 and 2,804.92 is: 3,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.66 : 6,311.80 = 2,804.92 : x
  2. Step 2: Convert to fraction form
    4,573.66/6,311.80 = 2,804.92/x
  3. Step 3: Cross multiply
    4,573.66x = 6,311.80 × 2,804.92
  4. Step 4: Simplify right side
    4,573.66x = 17,704,094.06
  5. Step 5: Solve for x
    x = 17,704,094.06/4,573.66
  6. Step 6: Final answer
    x = 3,870.88

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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.