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Finding the Fourth Proportional to 4,641.83, 6,914.50 and 4,390.32

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Solution

The fourth proportional to 4,641.83, 6,914.50 and 4,390.32 is: 6,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.83 : 6,914.50 = 4,390.32 : x
  2. Step 2: Convert to fraction form
    4,641.83/6,914.50 = 4,390.32/x
  3. Step 3: Cross multiply
    4,641.83x = 6,914.50 × 4,390.32
  4. Step 4: Simplify right side
    4,641.83x = 30,356,867.64
  5. Step 5: Solve for x
    x = 30,356,867.64/4,641.83
  6. Step 6: Final answer
    x = 6,539.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.