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Finding the Fourth Proportional to 4,159.90, 5,733.14 and 3,447.99

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Solution

The fourth proportional to 4,159.90, 5,733.14 and 3,447.99 is: 4,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.90 : 5,733.14 = 3,447.99 : x
  2. Step 2: Convert to fraction form
    4,159.90/5,733.14 = 3,447.99/x
  3. Step 3: Cross multiply
    4,159.90x = 5,733.14 × 3,447.99
  4. Step 4: Simplify right side
    4,159.90x = 19,767,827.67
  5. Step 5: Solve for x
    x = 19,767,827.67/4,159.90
  6. Step 6: Final answer
    x = 4,752.00

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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.