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Finding the Fourth Proportional to 3,258.48, 4,888.14 and 1,066.68

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Solution

The fourth proportional to 3,258.48, 4,888.14 and 1,066.68 is: 1,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.48 : 4,888.14 = 1,066.68 : x
  2. Step 2: Convert to fraction form
    3,258.48/4,888.14 = 1,066.68/x
  3. Step 3: Cross multiply
    3,258.48x = 4,888.14 × 1,066.68
  4. Step 4: Simplify right side
    3,258.48x = 5,214,081.18
  5. Step 5: Solve for x
    x = 5,214,081.18/3,258.48
  6. Step 6: Final answer
    x = 1,600.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.