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Finding the Fourth Proportional to 3,167.19, 4,750.35 and 975.87

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Solution

The fourth proportional to 3,167.19, 4,750.35 and 975.87 is: 1,463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.19 : 4,750.35 = 975.87 : x
  2. Step 2: Convert to fraction form
    3,167.19/4,750.35 = 975.87/x
  3. Step 3: Cross multiply
    3,167.19x = 4,750.35 × 975.87
  4. Step 4: Simplify right side
    3,167.19x = 4,635,724.05
  5. Step 5: Solve for x
    x = 4,635,724.05/3,167.19
  6. Step 6: Final answer
    x = 1,463.67

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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.