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Finding the Fourth Proportional to 3,584.40, 5,373.36 and 1,275.36

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Solution

The fourth proportional to 3,584.40, 5,373.36 and 1,275.36 is: 1,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.40 : 5,373.36 = 1,275.36 : x
  2. Step 2: Convert to fraction form
    3,584.40/5,373.36 = 1,275.36/x
  3. Step 3: Cross multiply
    3,584.40x = 5,373.36 × 1,275.36
  4. Step 4: Simplify right side
    3,584.40x = 6,852,968.41
  5. Step 5: Solve for x
    x = 6,852,968.41/3,584.40
  6. Step 6: Final answer
    x = 1,911.89

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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.