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Finding the Fourth Proportional to 3,584.37, 5,376.56 and 988.05

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Solution

The fourth proportional to 3,584.37, 5,376.56 and 988.05 is: 1,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.37 : 5,376.56 = 988.05 : x
  2. Step 2: Convert to fraction form
    3,584.37/5,376.56 = 988.05/x
  3. Step 3: Cross multiply
    3,584.37x = 5,376.56 × 988.05
  4. Step 4: Simplify right side
    3,584.37x = 5,312,305.17
  5. Step 5: Solve for x
    x = 5,312,305.17/3,584.37
  6. Step 6: Final answer
    x = 1,482.08

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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.