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Finding the Fourth Proportional to 4,749.64, 7,125.28 and 2,118.08

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Solution

The fourth proportional to 4,749.64, 7,125.28 and 2,118.08 is: 3,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.64 : 7,125.28 = 2,118.08 : x
  2. Step 2: Convert to fraction form
    4,749.64/7,125.28 = 2,118.08/x
  3. Step 3: Cross multiply
    4,749.64x = 7,125.28 × 2,118.08
  4. Step 4: Simplify right side
    4,749.64x = 15,091,913.06
  5. Step 5: Solve for x
    x = 15,091,913.06/4,749.64
  6. Step 6: Final answer
    x = 3,177.49

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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.