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Finding the Fourth Proportional to 3,505.60, 4,838.40 and 2,564.80

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Solution

The fourth proportional to 3,505.60, 4,838.40 and 2,564.80 is: 3,539.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.60 : 4,838.40 = 2,564.80 : x
  2. Step 2: Convert to fraction form
    3,505.60/4,838.40 = 2,564.80/x
  3. Step 3: Cross multiply
    3,505.60x = 4,838.40 × 2,564.80
  4. Step 4: Simplify right side
    3,505.60x = 12,409,528.32
  5. Step 5: Solve for x
    x = 12,409,528.32/3,505.60
  6. Step 6: Final answer
    x = 3,539.92

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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.