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Finding the Fourth Proportional to 5,011.56, 7,518.29 and 1,548

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Solution

The fourth proportional to 5,011.56, 7,518.29 and 1,548 is: 2,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011.56 : 7,518.29 = 1,548 : x
  2. Step 2: Convert to fraction form
    5,011.56/7,518.29 = 1,548/x
  3. Step 3: Cross multiply
    5,011.56x = 7,518.29 × 1,548
  4. Step 4: Simplify right side
    5,011.56x = 11,638,305.18
  5. Step 5: Solve for x
    x = 11,638,305.18/5,011.56
  6. Step 6: Final answer
    x = 2,322.29

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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.