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Finding the Fourth Proportional to 4,673.58, 6,447.51 and 2,809.50

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Solution

The fourth proportional to 4,673.58, 6,447.51 and 2,809.50 is: 3,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.58 : 6,447.51 = 2,809.50 : x
  2. Step 2: Convert to fraction form
    4,673.58/6,447.51 = 2,809.50/x
  3. Step 3: Cross multiply
    4,673.58x = 6,447.51 × 2,809.50
  4. Step 4: Simplify right side
    4,673.58x = 18,114,279.35
  5. Step 5: Solve for x
    x = 18,114,279.35/4,673.58
  6. Step 6: Final answer
    x = 3,875.89

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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.