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Finding the Fourth Proportional to 4,674.58, 6,448.89 and 2,810.50

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Solution

The fourth proportional to 4,674.58, 6,448.89 and 2,810.50 is: 3,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.58 : 6,448.89 = 2,810.50 : x
  2. Step 2: Convert to fraction form
    4,674.58/6,448.89 = 2,810.50/x
  3. Step 3: Cross multiply
    4,674.58x = 6,448.89 × 2,810.50
  4. Step 4: Simplify right side
    4,674.58x = 18,124,605.35
  5. Step 5: Solve for x
    x = 18,124,605.35/4,674.58
  6. Step 6: Final answer
    x = 3,877.27

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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.