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Finding the Fourth Proportional to 4,894.12, 7,341.54 and 1,607.14

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Solution

The fourth proportional to 4,894.12, 7,341.54 and 1,607.14 is: 2,410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.12 : 7,341.54 = 1,607.14 : x
  2. Step 2: Convert to fraction form
    4,894.12/7,341.54 = 1,607.14/x
  3. Step 3: Cross multiply
    4,894.12x = 7,341.54 × 1,607.14
  4. Step 4: Simplify right side
    4,894.12x = 11,798,882.60
  5. Step 5: Solve for x
    x = 11,798,882.60/4,894.12
  6. Step 6: Final answer
    x = 2,410.83

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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.