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Finding the Fourth Proportional to 4,368.50, 6,025.94 and 2,600

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Solution

The fourth proportional to 4,368.50, 6,025.94 and 2,600 is: 3,586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368.50 : 6,025.94 = 2,600 : x
  2. Step 2: Convert to fraction form
    4,368.50/6,025.94 = 2,600/x
  3. Step 3: Cross multiply
    4,368.50x = 6,025.94 × 2,600
  4. Step 4: Simplify right side
    4,368.50x = 15,667,444.00
  5. Step 5: Solve for x
    x = 15,667,444.00/4,368.50
  6. Step 6: Final answer
    x = 3,586.46

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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.