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Finding the Fourth Proportional to 3,038.40, 4,140.03 and 2,970.96

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Solution

The fourth proportional to 3,038.40, 4,140.03 and 2,970.96 is: 4,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.40 : 4,140.03 = 2,970.96 : x
  2. Step 2: Convert to fraction form
    3,038.40/4,140.03 = 2,970.96/x
  3. Step 3: Cross multiply
    3,038.40x = 4,140.03 × 2,970.96
  4. Step 4: Simplify right side
    3,038.40x = 12,299,863.53
  5. Step 5: Solve for x
    x = 12,299,863.53/3,038.40
  6. Step 6: Final answer
    x = 4,048.14

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.