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Finding the Fourth Proportional to 5,686.67, 7,848.33 and 3,328.76

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Solution

The fourth proportional to 5,686.67, 7,848.33 and 3,328.76 is: 4,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.67 : 7,848.33 = 3,328.76 : x
  2. Step 2: Convert to fraction form
    5,686.67/7,848.33 = 3,328.76/x
  3. Step 3: Cross multiply
    5,686.67x = 7,848.33 × 3,328.76
  4. Step 4: Simplify right side
    5,686.67x = 26,125,206.97
  5. Step 5: Solve for x
    x = 26,125,206.97/5,686.67
  6. Step 6: Final answer
    x = 4,594.11

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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.