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Finding the Fourth Proportional to 4,767.06, 6,581.07 and 3,590.94

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Solution

The fourth proportional to 4,767.06, 6,581.07 and 3,590.94 is: 4,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.06 : 6,581.07 = 3,590.94 : x
  2. Step 2: Convert to fraction form
    4,767.06/6,581.07 = 3,590.94/x
  3. Step 3: Cross multiply
    4,767.06x = 6,581.07 × 3,590.94
  4. Step 4: Simplify right side
    4,767.06x = 23,632,227.51
  5. Step 5: Solve for x
    x = 23,632,227.51/4,767.06
  6. Step 6: Final answer
    x = 4,957.40

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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.