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Finding the Fourth Proportional to 4,417.63, 6,096.70 and 3,004.45

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Solution

The fourth proportional to 4,417.63, 6,096.70 and 3,004.45 is: 4,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.63 : 6,096.70 = 3,004.45 : x
  2. Step 2: Convert to fraction form
    4,417.63/6,096.70 = 3,004.45/x
  3. Step 3: Cross multiply
    4,417.63x = 6,096.70 × 3,004.45
  4. Step 4: Simplify right side
    4,417.63x = 18,317,230.32
  5. Step 5: Solve for x
    x = 18,317,230.32/4,417.63
  6. Step 6: Final answer
    x = 4,146.39

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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.