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Finding the Fourth Proportional to 7,549.80, 11,308.29 and 3,646

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Solution

The fourth proportional to 7,549.80, 11,308.29 and 3,646 is: 5,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.80 : 11,308.29 = 3,646 : x
  2. Step 2: Convert to fraction form
    7,549.80/11,308.29 = 3,646/x
  3. Step 3: Cross multiply
    7,549.80x = 11,308.29 × 3,646
  4. Step 4: Simplify right side
    7,549.80x = 41,230,025.34
  5. Step 5: Solve for x
    x = 41,230,025.34/7,549.80
  6. Step 6: Final answer
    x = 5,461.08

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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.