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Finding the Fourth Proportional to 3,810.64, 5,258.88 and 2,318.30

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Solution

The fourth proportional to 3,810.64, 5,258.88 and 2,318.30 is: 3,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.64 : 5,258.88 = 2,318.30 : x
  2. Step 2: Convert to fraction form
    3,810.64/5,258.88 = 2,318.30/x
  3. Step 3: Cross multiply
    3,810.64x = 5,258.88 × 2,318.30
  4. Step 4: Simplify right side
    3,810.64x = 12,191,661.50
  5. Step 5: Solve for x
    x = 12,191,661.50/3,810.64
  6. Step 6: Final answer
    x = 3,199.37

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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.