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Finding the Fourth Proportional to 4,654.99, 6,985.00 and 3,617.08

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Solution

The fourth proportional to 4,654.99, 6,985.00 and 3,617.08 is: 5,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.99 : 6,985.00 = 3,617.08 : x
  2. Step 2: Convert to fraction form
    4,654.99/6,985.00 = 3,617.08/x
  3. Step 3: Cross multiply
    4,654.99x = 6,985.00 × 3,617.08
  4. Step 4: Simplify right side
    4,654.99x = 25,265,295.24
  5. Step 5: Solve for x
    x = 25,265,295.24/4,654.99
  6. Step 6: Final answer
    x = 5,427.57

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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.