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Finding the Fourth Proportional to 2,887.62, 4,335 and 2,742.36

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Solution

The fourth proportional to 2,887.62, 4,335 and 2,742.36 is: 4,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.62 : 4,335 = 2,742.36 : x
  2. Step 2: Convert to fraction form
    2,887.62/4,335 = 2,742.36/x
  3. Step 3: Cross multiply
    2,887.62x = 4,335 × 2,742.36
  4. Step 4: Simplify right side
    2,887.62x = 11,888,130.60
  5. Step 5: Solve for x
    x = 11,888,130.60/2,887.62
  6. Step 6: Final answer
    x = 4,116.93

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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.