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Finding the Fourth Proportional to 5,664.90, 8,480.93 and 3,688.40

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Solution

The fourth proportional to 5,664.90, 8,480.93 and 3,688.40 is: 5,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.90 : 8,480.93 = 3,688.40 : x
  2. Step 2: Convert to fraction form
    5,664.90/8,480.93 = 3,688.40/x
  3. Step 3: Cross multiply
    5,664.90x = 8,480.93 × 3,688.40
  4. Step 4: Simplify right side
    5,664.90x = 31,281,062.21
  5. Step 5: Solve for x
    x = 31,281,062.21/5,664.90
  6. Step 6: Final answer
    x = 5,521.91

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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.