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Finding the Fourth Proportional to 3,762.05, 5,643.32 and 988.79

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Solution

The fourth proportional to 3,762.05, 5,643.32 and 988.79 is: 1,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.05 : 5,643.32 = 988.79 : x
  2. Step 2: Convert to fraction form
    3,762.05/5,643.32 = 988.79/x
  3. Step 3: Cross multiply
    3,762.05x = 5,643.32 × 988.79
  4. Step 4: Simplify right side
    3,762.05x = 5,580,025.22
  5. Step 5: Solve for x
    x = 5,580,025.22/3,762.05
  6. Step 6: Final answer
    x = 1,483.24

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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.