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Finding the Fourth Proportional to 5,530.72, 7,619.04 and 4,646.56

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Solution

The fourth proportional to 5,530.72, 7,619.04 and 4,646.56 is: 6,401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.72 : 7,619.04 = 4,646.56 : x
  2. Step 2: Convert to fraction form
    5,530.72/7,619.04 = 4,646.56/x
  3. Step 3: Cross multiply
    5,530.72x = 7,619.04 × 4,646.56
  4. Step 4: Simplify right side
    5,530.72x = 35,402,326.50
  5. Step 5: Solve for x
    x = 35,402,326.50/5,530.72
  6. Step 6: Final answer
    x = 6,401.03

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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.