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Finding the Fourth Proportional to 4,710.32, 6,499.52 and 2,821.46

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Solution

The fourth proportional to 4,710.32, 6,499.52 and 2,821.46 is: 3,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.32 : 6,499.52 = 2,821.46 : x
  2. Step 2: Convert to fraction form
    4,710.32/6,499.52 = 2,821.46/x
  3. Step 3: Cross multiply
    4,710.32x = 6,499.52 × 2,821.46
  4. Step 4: Simplify right side
    4,710.32x = 18,338,135.70
  5. Step 5: Solve for x
    x = 18,338,135.70/4,710.32
  6. Step 6: Final answer
    x = 3,893.18

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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.