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Finding the Fourth Proportional to 4,564.16, 6,295.24 and 4,411.68

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Solution

The fourth proportional to 4,564.16, 6,295.24 and 4,411.68 is: 6,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.16 : 6,295.24 = 4,411.68 : x
  2. Step 2: Convert to fraction form
    4,564.16/6,295.24 = 4,411.68/x
  3. Step 3: Cross multiply
    4,564.16x = 6,295.24 × 4,411.68
  4. Step 4: Simplify right side
    4,564.16x = 27,772,584.40
  5. Step 5: Solve for x
    x = 27,772,584.40/4,564.16
  6. Step 6: Final answer
    x = 6,084.93

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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.