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Finding the Fourth Proportional to 4,742.89, 7,111.80 and 1,455.10

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Solution

The fourth proportional to 4,742.89, 7,111.80 and 1,455.10 is: 2,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.89 : 7,111.80 = 1,455.10 : x
  2. Step 2: Convert to fraction form
    4,742.89/7,111.80 = 1,455.10/x
  3. Step 3: Cross multiply
    4,742.89x = 7,111.80 × 1,455.10
  4. Step 4: Simplify right side
    4,742.89x = 10,348,362.40
  5. Step 5: Solve for x
    x = 10,348,362.40/4,742.89
  6. Step 6: Final answer
    x = 2,181.87

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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.