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Finding the Fourth Proportional to 4,663.04, 6,435.25 and 3,090.02

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Solution

The fourth proportional to 4,663.04, 6,435.25 and 3,090.02 is: 4,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.04 : 6,435.25 = 3,090.02 : x
  2. Step 2: Convert to fraction form
    4,663.04/6,435.25 = 3,090.02/x
  3. Step 3: Cross multiply
    4,663.04x = 6,435.25 × 3,090.02
  4. Step 4: Simplify right side
    4,663.04x = 19,885,011.30
  5. Step 5: Solve for x
    x = 19,885,011.30/4,663.04
  6. Step 6: Final answer
    x = 4,264.39

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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.