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Finding the Fourth Proportional to 4,242.14, 5,854.13 and 2,353.67

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Solution

The fourth proportional to 4,242.14, 5,854.13 and 2,353.67 is: 3,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.14 : 5,854.13 = 2,353.67 : x
  2. Step 2: Convert to fraction form
    4,242.14/5,854.13 = 2,353.67/x
  3. Step 3: Cross multiply
    4,242.14x = 5,854.13 × 2,353.67
  4. Step 4: Simplify right side
    4,242.14x = 13,778,649.12
  5. Step 5: Solve for x
    x = 13,778,649.12/4,242.14
  6. Step 6: Final answer
    x = 3,248.05

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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.