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Finding the Fourth Proportional to 4,320.04, 6,481 and 1,398.64

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Solution

The fourth proportional to 4,320.04, 6,481 and 1,398.64 is: 2,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320.04 : 6,481 = 1,398.64 : x
  2. Step 2: Convert to fraction form
    4,320.04/6,481 = 1,398.64/x
  3. Step 3: Cross multiply
    4,320.04x = 6,481 × 1,398.64
  4. Step 4: Simplify right side
    4,320.04x = 9,064,585.84
  5. Step 5: Solve for x
    x = 9,064,585.84/4,320.04
  6. Step 6: Final answer
    x = 2,098.26

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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.