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Finding the Fourth Proportional to 5,875.40, 8,811.54 and 1,979

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Solution

The fourth proportional to 5,875.40, 8,811.54 and 1,979 is: 2,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.40 : 8,811.54 = 1,979 : x
  2. Step 2: Convert to fraction form
    5,875.40/8,811.54 = 1,979/x
  3. Step 3: Cross multiply
    5,875.40x = 8,811.54 × 1,979
  4. Step 4: Simplify right side
    5,875.40x = 17,438,037.66
  5. Step 5: Solve for x
    x = 17,438,037.66/5,875.40
  6. Step 6: Final answer
    x = 2,967.97

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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.