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Finding the Fourth Proportional to 4,574.33, 6,308.86 and 3,564.06

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Solution

The fourth proportional to 4,574.33, 6,308.86 and 3,564.06 is: 4,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.33 : 6,308.86 = 3,564.06 : x
  2. Step 2: Convert to fraction form
    4,574.33/6,308.86 = 3,564.06/x
  3. Step 3: Cross multiply
    4,574.33x = 6,308.86 × 3,564.06
  4. Step 4: Simplify right side
    4,574.33x = 22,485,155.57
  5. Step 5: Solve for x
    x = 22,485,155.57/4,574.33
  6. Step 6: Final answer
    x = 4,915.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.