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Finding the Fourth Proportional to 4,656.99, 6,988 and 3,619.08

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Solution

The fourth proportional to 4,656.99, 6,988 and 3,619.08 is: 5,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.99 : 6,988 = 3,619.08 : x
  2. Step 2: Convert to fraction form
    4,656.99/6,988 = 3,619.08/x
  3. Step 3: Cross multiply
    4,656.99x = 6,988 × 3,619.08
  4. Step 4: Simplify right side
    4,656.99x = 25,290,131.04
  5. Step 5: Solve for x
    x = 25,290,131.04/4,656.99
  6. Step 6: Final answer
    x = 5,430.57

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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.