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Finding the Fourth Proportional to 3,135.50, 4,667.41 and 3,088.80

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Solution

The fourth proportional to 3,135.50, 4,667.41 and 3,088.80 is: 4,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.50 : 4,667.41 = 3,088.80 : x
  2. Step 2: Convert to fraction form
    3,135.50/4,667.41 = 3,088.80/x
  3. Step 3: Cross multiply
    3,135.50x = 4,667.41 × 3,088.80
  4. Step 4: Simplify right side
    3,135.50x = 14,416,688.29
  5. Step 5: Solve for x
    x = 14,416,688.29/3,135.50
  6. Step 6: Final answer
    x = 4,597.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.