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Finding the Fourth Proportional to 4,706.47, 6,494.07 and 2,716.30

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Solution

The fourth proportional to 4,706.47, 6,494.07 and 2,716.30 is: 3,748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.47 : 6,494.07 = 2,716.30 : x
  2. Step 2: Convert to fraction form
    4,706.47/6,494.07 = 2,716.30/x
  3. Step 3: Cross multiply
    4,706.47x = 6,494.07 × 2,716.30
  4. Step 4: Simplify right side
    4,706.47x = 17,639,842.34
  5. Step 5: Solve for x
    x = 17,639,842.34/4,706.47
  6. Step 6: Final answer
    x = 3,748.00

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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.