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Finding the Fourth Proportional to 4,574.32, 6,861.48 and 1,977.26

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Solution

The fourth proportional to 4,574.32, 6,861.48 and 1,977.26 is: 2,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.32 : 6,861.48 = 1,977.26 : x
  2. Step 2: Convert to fraction form
    4,574.32/6,861.48 = 1,977.26/x
  3. Step 3: Cross multiply
    4,574.32x = 6,861.48 × 1,977.26
  4. Step 4: Simplify right side
    4,574.32x = 13,566,929.94
  5. Step 5: Solve for x
    x = 13,566,929.94/4,574.32
  6. Step 6: Final answer
    x = 2,965.89

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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.