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Finding the Fourth Proportional to 4,740.68, 7,112.05 and 1,454.02

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Solution

The fourth proportional to 4,740.68, 7,112.05 and 1,454.02 is: 2,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.68 : 7,112.05 = 1,454.02 : x
  2. Step 2: Convert to fraction form
    4,740.68/7,112.05 = 1,454.02/x
  3. Step 3: Cross multiply
    4,740.68x = 7,112.05 × 1,454.02
  4. Step 4: Simplify right side
    4,740.68x = 10,341,041.53
  5. Step 5: Solve for x
    x = 10,341,041.53/4,740.68
  6. Step 6: Final answer
    x = 2,181.34

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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.