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Finding the Fourth Proportional to 3,490, 5,237.40 and 1,438

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Solution

The fourth proportional to 3,490, 5,237.40 and 1,438 is: 2,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490 : 5,237.40 = 1,438 : x
  2. Step 2: Convert to fraction form
    3,490/5,237.40 = 1,438/x
  3. Step 3: Cross multiply
    3,490x = 5,237.40 × 1,438
  4. Step 4: Simplify right side
    3,490x = 7,531,381.20
  5. Step 5: Solve for x
    x = 7,531,381.20/3,490
  6. Step 6: Final answer
    x = 2,157.99

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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.