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Finding the Fourth Proportional to 4,574.88, 6,858.57 and 2,931

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Solution

The fourth proportional to 4,574.88, 6,858.57 and 2,931 is: 4,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.88 : 6,858.57 = 2,931 : x
  2. Step 2: Convert to fraction form
    4,574.88/6,858.57 = 2,931/x
  3. Step 3: Cross multiply
    4,574.88x = 6,858.57 × 2,931
  4. Step 4: Simplify right side
    4,574.88x = 20,102,468.67
  5. Step 5: Solve for x
    x = 20,102,468.67/4,574.88
  6. Step 6: Final answer
    x = 4,394.10

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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.