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Finding the Fourth Proportional to 4,167.90, 5,750.70 and 2,595.14

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Solution

The fourth proportional to 4,167.90, 5,750.70 and 2,595.14 is: 3,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.90 : 5,750.70 = 2,595.14 : x
  2. Step 2: Convert to fraction form
    4,167.90/5,750.70 = 2,595.14/x
  3. Step 3: Cross multiply
    4,167.90x = 5,750.70 × 2,595.14
  4. Step 4: Simplify right side
    4,167.90x = 14,923,871.60
  5. Step 5: Solve for x
    x = 14,923,871.60/4,167.90
  6. Step 6: Final answer
    x = 3,580.67

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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.