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Finding the Fourth Proportional to 6,459.12, 8,907.48 and 4,339.44

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Solution

The fourth proportional to 6,459.12, 8,907.48 and 4,339.44 is: 5,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.12 : 8,907.48 = 4,339.44 : x
  2. Step 2: Convert to fraction form
    6,459.12/8,907.48 = 4,339.44/x
  3. Step 3: Cross multiply
    6,459.12x = 8,907.48 × 4,339.44
  4. Step 4: Simplify right side
    6,459.12x = 38,653,475.01
  5. Step 5: Solve for x
    x = 38,653,475.01/6,459.12
  6. Step 6: Final answer
    x = 5,984.33

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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.