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Finding the Fourth Proportional to 4,586.40, 6,330.24 and 3,014.64

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Solution

The fourth proportional to 4,586.40, 6,330.24 and 3,014.64 is: 4,160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.40 : 6,330.24 = 3,014.64 : x
  2. Step 2: Convert to fraction form
    4,586.40/6,330.24 = 3,014.64/x
  3. Step 3: Cross multiply
    4,586.40x = 6,330.24 × 3,014.64
  4. Step 4: Simplify right side
    4,586.40x = 19,083,394.71
  5. Step 5: Solve for x
    x = 19,083,394.71/4,586.40
  6. Step 6: Final answer
    x = 4,160.87

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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.