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Finding the Fourth Proportional to 3,642.40, 5,463.88 and 1,302.90

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Solution

The fourth proportional to 3,642.40, 5,463.88 and 1,302.90 is: 1,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.40 : 5,463.88 = 1,302.90 : x
  2. Step 2: Convert to fraction form
    3,642.40/5,463.88 = 1,302.90/x
  3. Step 3: Cross multiply
    3,642.40x = 5,463.88 × 1,302.90
  4. Step 4: Simplify right side
    3,642.40x = 7,118,889.25
  5. Step 5: Solve for x
    x = 7,118,889.25/3,642.40
  6. Step 6: Final answer
    x = 1,954.45

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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.