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Finding the Fourth Proportional to 4,574.68, 6,858.34 and 4,210.12

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Solution

The fourth proportional to 4,574.68, 6,858.34 and 4,210.12 is: 6,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.68 : 6,858.34 = 4,210.12 : x
  2. Step 2: Convert to fraction form
    4,574.68/6,858.34 = 4,210.12/x
  3. Step 3: Cross multiply
    4,574.68x = 6,858.34 × 4,210.12
  4. Step 4: Simplify right side
    4,574.68x = 28,874,434.40
  5. Step 5: Solve for x
    x = 28,874,434.40/4,574.68
  6. Step 6: Final answer
    x = 6,311.79

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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.