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Finding the Fourth Proportional to 4,973.84, 7,453.08 and 3,146

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Solution

The fourth proportional to 4,973.84, 7,453.08 and 3,146 is: 4,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.84 : 7,453.08 = 3,146 : x
  2. Step 2: Convert to fraction form
    4,973.84/7,453.08 = 3,146/x
  3. Step 3: Cross multiply
    4,973.84x = 7,453.08 × 3,146
  4. Step 4: Simplify right side
    4,973.84x = 23,447,389.68
  5. Step 5: Solve for x
    x = 23,447,389.68/4,973.84
  6. Step 6: Final answer
    x = 4,714.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.