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Finding the Fourth Proportional to 4,329.61, 6,497.16 and 2,484.33

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Solution

The fourth proportional to 4,329.61, 6,497.16 and 2,484.33 is: 3,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.61 : 6,497.16 = 2,484.33 : x
  2. Step 2: Convert to fraction form
    4,329.61/6,497.16 = 2,484.33/x
  3. Step 3: Cross multiply
    4,329.61x = 6,497.16 × 2,484.33
  4. Step 4: Simplify right side
    4,329.61x = 16,141,089.50
  5. Step 5: Solve for x
    x = 16,141,089.50/4,329.61
  6. Step 6: Final answer
    x = 3,728.07

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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.