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Finding the Fourth Proportional to 3,002.34, 4,496.90 and 2,476.40

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Solution

The fourth proportional to 3,002.34, 4,496.90 and 2,476.40 is: 3,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.34 : 4,496.90 = 2,476.40 : x
  2. Step 2: Convert to fraction form
    3,002.34/4,496.90 = 2,476.40/x
  3. Step 3: Cross multiply
    3,002.34x = 4,496.90 × 2,476.40
  4. Step 4: Simplify right side
    3,002.34x = 11,136,123.16
  5. Step 5: Solve for x
    x = 11,136,123.16/3,002.34
  6. Step 6: Final answer
    x = 3,709.15

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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.