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Finding the Fourth Proportional to 3,047.28, 4,570.89 and 995.28

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Solution

The fourth proportional to 3,047.28, 4,570.89 and 995.28 is: 1,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.28 : 4,570.89 = 995.28 : x
  2. Step 2: Convert to fraction form
    3,047.28/4,570.89 = 995.28/x
  3. Step 3: Cross multiply
    3,047.28x = 4,570.89 × 995.28
  4. Step 4: Simplify right side
    3,047.28x = 4,549,315.40
  5. Step 5: Solve for x
    x = 4,549,315.40/3,047.28
  6. Step 6: Final answer
    x = 1,492.91

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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.