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Finding the Fourth Proportional to 4,911, 7,356.65 and 2,438.34

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Solution

The fourth proportional to 4,911, 7,356.65 and 2,438.34 is: 3,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911 : 7,356.65 = 2,438.34 : x
  2. Step 2: Convert to fraction form
    4,911/7,356.65 = 2,438.34/x
  3. Step 3: Cross multiply
    4,911x = 7,356.65 × 2,438.34
  4. Step 4: Simplify right side
    4,911x = 17,938,001.77
  5. Step 5: Solve for x
    x = 17,938,001.77/4,911
  6. Step 6: Final answer
    x = 3,652.62

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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.