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Finding the Fourth Proportional to 4,733.62, 7,054.28 and 4,591.10

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Solution

The fourth proportional to 4,733.62, 7,054.28 and 4,591.10 is: 6,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.62 : 7,054.28 = 4,591.10 : x
  2. Step 2: Convert to fraction form
    4,733.62/7,054.28 = 4,591.10/x
  3. Step 3: Cross multiply
    4,733.62x = 7,054.28 × 4,591.10
  4. Step 4: Simplify right side
    4,733.62x = 32,386,904.91
  5. Step 5: Solve for x
    x = 32,386,904.91/4,733.62
  6. Step 6: Final answer
    x = 6,841.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.