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Finding the Fourth Proportional to 4,702.11, 7,048.97 and 1,782.46

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Solution

The fourth proportional to 4,702.11, 7,048.97 and 1,782.46 is: 2,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.11 : 7,048.97 = 1,782.46 : x
  2. Step 2: Convert to fraction form
    4,702.11/7,048.97 = 1,782.46/x
  3. Step 3: Cross multiply
    4,702.11x = 7,048.97 × 1,782.46
  4. Step 4: Simplify right side
    4,702.11x = 12,564,528.63
  5. Step 5: Solve for x
    x = 12,564,528.63/4,702.11
  6. Step 6: Final answer
    x = 2,672.11

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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.