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Finding the Fourth Proportional to 4,693.16, 7,043.21 and 2,228.00

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Solution

The fourth proportional to 4,693.16, 7,043.21 and 2,228.00 is: 3,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.16 : 7,043.21 = 2,228.00 : x
  2. Step 2: Convert to fraction form
    4,693.16/7,043.21 = 2,228.00/x
  3. Step 3: Cross multiply
    4,693.16x = 7,043.21 × 2,228.00
  4. Step 4: Simplify right side
    4,693.16x = 15,692,225.52
  5. Step 5: Solve for x
    x = 15,692,225.52/4,693.16
  6. Step 6: Final answer
    x = 3,343.64

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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.