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Finding the Fourth Proportional to 3,588.56, 5,384.38 and 1,509.03

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Solution

The fourth proportional to 3,588.56, 5,384.38 and 1,509.03 is: 2,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.56 : 5,384.38 = 1,509.03 : x
  2. Step 2: Convert to fraction form
    3,588.56/5,384.38 = 1,509.03/x
  3. Step 3: Cross multiply
    3,588.56x = 5,384.38 × 1,509.03
  4. Step 4: Simplify right side
    3,588.56x = 8,125,186.29
  5. Step 5: Solve for x
    x = 8,125,186.29/3,588.56
  6. Step 6: Final answer
    x = 2,264.19

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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.