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Finding the Fourth Proportional to 4,332, 6,498.68 and 1,409.62

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Solution

The fourth proportional to 4,332, 6,498.68 and 1,409.62 is: 2,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332 : 6,498.68 = 1,409.62 : x
  2. Step 2: Convert to fraction form
    4,332/6,498.68 = 1,409.62/x
  3. Step 3: Cross multiply
    4,332x = 6,498.68 × 1,409.62
  4. Step 4: Simplify right side
    4,332x = 9,160,629.76
  5. Step 5: Solve for x
    x = 9,160,629.76/4,332
  6. Step 6: Final answer
    x = 2,114.64

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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.