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Finding the Fourth Proportional to 5,090.94, 7,633.67 and 1,580.00

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Solution

The fourth proportional to 5,090.94, 7,633.67 and 1,580.00 is: 2,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.94 : 7,633.67 = 1,580.00 : x
  2. Step 2: Convert to fraction form
    5,090.94/7,633.67 = 1,580.00/x
  3. Step 3: Cross multiply
    5,090.94x = 7,633.67 × 1,580.00
  4. Step 4: Simplify right side
    5,090.94x = 12,061,152.53
  5. Step 5: Solve for x
    x = 12,061,152.53/5,090.94
  6. Step 6: Final answer
    x = 2,369.14

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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.