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Finding the Fourth Proportional to 4,886.30, 7,330.80 and 1,966.66

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Solution

The fourth proportional to 4,886.30, 7,330.80 and 1,966.66 is: 2,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.30 : 7,330.80 = 1,966.66 : x
  2. Step 2: Convert to fraction form
    4,886.30/7,330.80 = 1,966.66/x
  3. Step 3: Cross multiply
    4,886.30x = 7,330.80 × 1,966.66
  4. Step 4: Simplify right side
    4,886.30x = 14,417,191.13
  5. Step 5: Solve for x
    x = 14,417,191.13/4,886.30
  6. Step 6: Final answer
    x = 2,950.53

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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.