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Finding the Fourth Proportional to 4,913.60, 7,362.30 and 4,087.40

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Solution

The fourth proportional to 4,913.60, 7,362.30 and 4,087.40 is: 6,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.60 : 7,362.30 = 4,087.40 : x
  2. Step 2: Convert to fraction form
    4,913.60/7,362.30 = 4,087.40/x
  3. Step 3: Cross multiply
    4,913.60x = 7,362.30 × 4,087.40
  4. Step 4: Simplify right side
    4,913.60x = 30,092,665.02
  5. Step 5: Solve for x
    x = 30,092,665.02/4,913.60
  6. Step 6: Final answer
    x = 6,124.36

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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.