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Finding the Fourth Proportional to 4,332.20, 6,497.64 and 1,410.50

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Solution

The fourth proportional to 4,332.20, 6,497.64 and 1,410.50 is: 2,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.20 : 6,497.64 = 1,410.50 : x
  2. Step 2: Convert to fraction form
    4,332.20/6,497.64 = 1,410.50/x
  3. Step 3: Cross multiply
    4,332.20x = 6,497.64 × 1,410.50
  4. Step 4: Simplify right side
    4,332.20x = 9,164,921.22
  5. Step 5: Solve for x
    x = 9,164,921.22/4,332.20
  6. Step 6: Final answer
    x = 2,115.54

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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.