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Finding the Fourth Proportional to 4,886.06, 7,327.55 and 1,765.66

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Solution

The fourth proportional to 4,886.06, 7,327.55 and 1,765.66 is: 2,647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.06 : 7,327.55 = 1,765.66 : x
  2. Step 2: Convert to fraction form
    4,886.06/7,327.55 = 1,765.66/x
  3. Step 3: Cross multiply
    4,886.06x = 7,327.55 × 1,765.66
  4. Step 4: Simplify right side
    4,886.06x = 12,937,931.23
  5. Step 5: Solve for x
    x = 12,937,931.23/4,886.06
  6. Step 6: Final answer
    x = 2,647.93

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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.