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Finding the Fourth Proportional to 4,702.28, 7,047.20 and 2,506.28

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Solution

The fourth proportional to 4,702.28, 7,047.20 and 2,506.28 is: 3,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.28 : 7,047.20 = 2,506.28 : x
  2. Step 2: Convert to fraction form
    4,702.28/7,047.20 = 2,506.28/x
  3. Step 3: Cross multiply
    4,702.28x = 7,047.20 × 2,506.28
  4. Step 4: Simplify right side
    4,702.28x = 17,662,256.42
  5. Step 5: Solve for x
    x = 17,662,256.42/4,702.28
  6. Step 6: Final answer
    x = 3,756.10

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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.