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Finding the Fourth Proportional to 4,574.90, 6,857.64 and 1,800.45

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Solution

The fourth proportional to 4,574.90, 6,857.64 and 1,800.45 is: 2,698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.90 : 6,857.64 = 1,800.45 : x
  2. Step 2: Convert to fraction form
    4,574.90/6,857.64 = 1,800.45/x
  3. Step 3: Cross multiply
    4,574.90x = 6,857.64 × 1,800.45
  4. Step 4: Simplify right side
    4,574.90x = 12,346,837.94
  5. Step 5: Solve for x
    x = 12,346,837.94/4,574.90
  6. Step 6: Final answer
    x = 2,698.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.