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Finding the Fourth Proportional to 4,586.94, 6,870 and 2,921.07

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Solution

The fourth proportional to 4,586.94, 6,870 and 2,921.07 is: 4,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.94 : 6,870 = 2,921.07 : x
  2. Step 2: Convert to fraction form
    4,586.94/6,870 = 2,921.07/x
  3. Step 3: Cross multiply
    4,586.94x = 6,870 × 2,921.07
  4. Step 4: Simplify right side
    4,586.94x = 20,067,750.90
  5. Step 5: Solve for x
    x = 20,067,750.90/4,586.94
  6. Step 6: Final answer
    x = 4,374.98

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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.