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Finding the Fourth Proportional to 4,735.12, 7,094.52 and 4,254.16

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Solution

The fourth proportional to 4,735.12, 7,094.52 and 4,254.16 is: 6,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.12 : 7,094.52 = 4,254.16 : x
  2. Step 2: Convert to fraction form
    4,735.12/7,094.52 = 4,254.16/x
  3. Step 3: Cross multiply
    4,735.12x = 7,094.52 × 4,254.16
  4. Step 4: Simplify right side
    4,735.12x = 30,181,223.20
  5. Step 5: Solve for x
    x = 30,181,223.20/4,735.12
  6. Step 6: Final answer
    x = 6,373.91

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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.