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Finding the Fourth Proportional to 4,702.16, 6,488.16 and 2,814.50

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Solution

The fourth proportional to 4,702.16, 6,488.16 and 2,814.50 is: 3,883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.16 : 6,488.16 = 2,814.50 : x
  2. Step 2: Convert to fraction form
    4,702.16/6,488.16 = 2,814.50/x
  3. Step 3: Cross multiply
    4,702.16x = 6,488.16 × 2,814.50
  4. Step 4: Simplify right side
    4,702.16x = 18,260,926.32
  5. Step 5: Solve for x
    x = 18,260,926.32/4,702.16
  6. Step 6: Final answer
    x = 3,883.52

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Why These Related Problems?

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