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Finding the Fourth Proportional to 5,630.16, 7,772.10 and 3,641.70

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Solution

The fourth proportional to 5,630.16, 7,772.10 and 3,641.70 is: 5,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.16 : 7,772.10 = 3,641.70 : x
  2. Step 2: Convert to fraction form
    5,630.16/7,772.10 = 3,641.70/x
  3. Step 3: Cross multiply
    5,630.16x = 7,772.10 × 3,641.70
  4. Step 4: Simplify right side
    5,630.16x = 28,303,656.57
  5. Step 5: Solve for x
    x = 28,303,656.57/5,630.16
  6. Step 6: Final answer
    x = 5,027.15

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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.