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Finding the Fourth Proportional to 5,090.24, 7,635.00 and 1,580.16

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Solution

The fourth proportional to 5,090.24, 7,635.00 and 1,580.16 is: 2,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.24 : 7,635.00 = 1,580.16 : x
  2. Step 2: Convert to fraction form
    5,090.24/7,635.00 = 1,580.16/x
  3. Step 3: Cross multiply
    5,090.24x = 7,635.00 × 1,580.16
  4. Step 4: Simplify right side
    5,090.24x = 12,064,513.70
  5. Step 5: Solve for x
    x = 12,064,513.70/5,090.24
  6. Step 6: Final answer
    x = 2,370.13

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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.