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Finding the Fourth Proportional to 3,588.02, 5,382.15 and 990.98

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Solution

The fourth proportional to 3,588.02, 5,382.15 and 990.98 is: 1,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.02 : 5,382.15 = 990.98 : x
  2. Step 2: Convert to fraction form
    3,588.02/5,382.15 = 990.98/x
  3. Step 3: Cross multiply
    3,588.02x = 5,382.15 × 990.98
  4. Step 4: Simplify right side
    3,588.02x = 5,333,603.01
  5. Step 5: Solve for x
    x = 5,333,603.01/3,588.02
  6. Step 6: Final answer
    x = 1,486.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.