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Finding the Fourth Proportional to 5,358.12, 8,036.25 and 1,461.60

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Solution

The fourth proportional to 5,358.12, 8,036.25 and 1,461.60 is: 2,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.12 : 8,036.25 = 1,461.60 : x
  2. Step 2: Convert to fraction form
    5,358.12/8,036.25 = 1,461.60/x
  3. Step 3: Cross multiply
    5,358.12x = 8,036.25 × 1,461.60
  4. Step 4: Simplify right side
    5,358.12x = 11,745,783
  5. Step 5: Solve for x
    x = 11,745,783/5,358.12
  6. Step 6: Final answer
    x = 2,192.15

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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.