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Finding the Fourth Proportional to 3,090.61, 4,635.87 and 750.63

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Solution

The fourth proportional to 3,090.61, 4,635.87 and 750.63 is: 1,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.61 : 4,635.87 = 750.63 : x
  2. Step 2: Convert to fraction form
    3,090.61/4,635.87 = 750.63/x
  3. Step 3: Cross multiply
    3,090.61x = 4,635.87 × 750.63
  4. Step 4: Simplify right side
    3,090.61x = 3,479,796.17
  5. Step 5: Solve for x
    x = 3,479,796.17/3,090.61
  6. Step 6: Final answer
    x = 1,125.93

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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.