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Finding the Fourth Proportional to 4,597.99, 6,329.20 and 4,007.50

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Solution

The fourth proportional to 4,597.99, 6,329.20 and 4,007.50 is: 5,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.99 : 6,329.20 = 4,007.50 : x
  2. Step 2: Convert to fraction form
    4,597.99/6,329.20 = 4,007.50/x
  3. Step 3: Cross multiply
    4,597.99x = 6,329.20 × 4,007.50
  4. Step 4: Simplify right side
    4,597.99x = 25,364,269
  5. Step 5: Solve for x
    x = 25,364,269/4,597.99
  6. Step 6: Final answer
    x = 5,516.38

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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.