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Finding the Fourth Proportional to 3,056, 4,215.54 and 1,875.02

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Solution

The fourth proportional to 3,056, 4,215.54 and 1,875.02 is: 2,586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056 : 4,215.54 = 1,875.02 : x
  2. Step 2: Convert to fraction form
    3,056/4,215.54 = 1,875.02/x
  3. Step 3: Cross multiply
    3,056x = 4,215.54 × 1,875.02
  4. Step 4: Simplify right side
    3,056x = 7,904,221.81
  5. Step 5: Solve for x
    x = 7,904,221.81/3,056
  6. Step 6: Final answer
    x = 2,586.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.