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Finding the Fourth Proportional to 3,486.59, 4,809.80 and 2,308.64

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Solution

The fourth proportional to 3,486.59, 4,809.80 and 2,308.64 is: 3,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.59 : 4,809.80 = 2,308.64 : x
  2. Step 2: Convert to fraction form
    3,486.59/4,809.80 = 2,308.64/x
  3. Step 3: Cross multiply
    3,486.59x = 4,809.80 × 2,308.64
  4. Step 4: Simplify right side
    3,486.59x = 11,104,085.13
  5. Step 5: Solve for x
    x = 11,104,085.13/3,486.59
  6. Step 6: Final answer
    x = 3,184.80

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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.