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Finding the Fourth Proportional to 3,847.29, 5,307.60 and 2,430.00

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Solution

The fourth proportional to 3,847.29, 5,307.60 and 2,430.00 is: 3,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.29 : 5,307.60 = 2,430.00 : x
  2. Step 2: Convert to fraction form
    3,847.29/5,307.60 = 2,430.00/x
  3. Step 3: Cross multiply
    3,847.29x = 5,307.60 × 2,430.00
  4. Step 4: Simplify right side
    3,847.29x = 12,897,441.46
  5. Step 5: Solve for x
    x = 12,897,441.46/3,847.29
  6. Step 6: Final answer
    x = 3,352.34

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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.