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Finding the Fourth Proportional to 5,702.10, 8,553.06 and 4,726.14

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Solution

The fourth proportional to 5,702.10, 8,553.06 and 4,726.14 is: 7,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.10 : 8,553.06 = 4,726.14 : x
  2. Step 2: Convert to fraction form
    5,702.10/8,553.06 = 4,726.14/x
  3. Step 3: Cross multiply
    5,702.10x = 8,553.06 × 4,726.14
  4. Step 4: Simplify right side
    5,702.10x = 40,422,958.99
  5. Step 5: Solve for x
    x = 40,422,958.99/5,702.10
  6. Step 6: Final answer
    x = 7,089.14

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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.