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Finding the Fourth Proportional to 4,570.29, 6,309.95 and 3,733.01

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Solution

The fourth proportional to 4,570.29, 6,309.95 and 3,733.01 is: 5,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.29 : 6,309.95 = 3,733.01 : x
  2. Step 2: Convert to fraction form
    4,570.29/6,309.95 = 3,733.01/x
  3. Step 3: Cross multiply
    4,570.29x = 6,309.95 × 3,733.01
  4. Step 4: Simplify right side
    4,570.29x = 23,555,079.90
  5. Step 5: Solve for x
    x = 23,555,079.90/4,570.29
  6. Step 6: Final answer
    x = 5,153.95

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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.