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Finding the Fourth Proportional to 4,417.57, 6,096.36 and 2,649.34

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Solution

The fourth proportional to 4,417.57, 6,096.36 and 2,649.34 is: 3,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.57 : 6,096.36 = 2,649.34 : x
  2. Step 2: Convert to fraction form
    4,417.57/6,096.36 = 2,649.34/x
  3. Step 3: Cross multiply
    4,417.57x = 6,096.36 × 2,649.34
  4. Step 4: Simplify right side
    4,417.57x = 16,151,330.40
  5. Step 5: Solve for x
    x = 16,151,330.40/4,417.57
  6. Step 6: Final answer
    x = 3,656.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.