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Finding the Fourth Proportional to 3,425.60, 5,133.54 and 2,558.90

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Solution

The fourth proportional to 3,425.60, 5,133.54 and 2,558.90 is: 3,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.60 : 5,133.54 = 2,558.90 : x
  2. Step 2: Convert to fraction form
    3,425.60/5,133.54 = 2,558.90/x
  3. Step 3: Cross multiply
    3,425.60x = 5,133.54 × 2,558.90
  4. Step 4: Simplify right side
    3,425.60x = 13,136,215.51
  5. Step 5: Solve for x
    x = 13,136,215.51/3,425.60
  6. Step 6: Final answer
    x = 3,834.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.