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Finding the Fourth Proportional to 4,646.10, 6,399.78 and 4,339.92

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Solution

The fourth proportional to 4,646.10, 6,399.78 and 4,339.92 is: 5,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.10 : 6,399.78 = 4,339.92 : x
  2. Step 2: Convert to fraction form
    4,646.10/6,399.78 = 4,339.92/x
  3. Step 3: Cross multiply
    4,646.10x = 6,399.78 × 4,339.92
  4. Step 4: Simplify right side
    4,646.10x = 27,774,533.22
  5. Step 5: Solve for x
    x = 27,774,533.22/4,646.10
  6. Step 6: Final answer
    x = 5,978.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.