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Finding the Fourth Proportional to 4,746.40, 7,117.40 and 2,772.61

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Solution

The fourth proportional to 4,746.40, 7,117.40 and 2,772.61 is: 4,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.40 : 7,117.40 = 2,772.61 : x
  2. Step 2: Convert to fraction form
    4,746.40/7,117.40 = 2,772.61/x
  3. Step 3: Cross multiply
    4,746.40x = 7,117.40 × 2,772.61
  4. Step 4: Simplify right side
    4,746.40x = 19,733,763.55
  5. Step 5: Solve for x
    x = 19,733,763.55/4,746.40
  6. Step 6: Final answer
    x = 4,157.63

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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.