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Finding the Fourth Proportional to 4,702.95, 6,488.34 and 2,814.57

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Solution

The fourth proportional to 4,702.95, 6,488.34 and 2,814.57 is: 3,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.95 : 6,488.34 = 2,814.57 : x
  2. Step 2: Convert to fraction form
    4,702.95/6,488.34 = 2,814.57/x
  3. Step 3: Cross multiply
    4,702.95x = 6,488.34 × 2,814.57
  4. Step 4: Simplify right side
    4,702.95x = 18,261,887.11
  5. Step 5: Solve for x
    x = 18,261,887.11/4,702.95
  6. Step 6: Final answer
    x = 3,883.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.