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Finding the Fourth Proportional to 5,719.59, 7,886.80 and 4,966.90

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Solution

The fourth proportional to 5,719.59, 7,886.80 and 4,966.90 is: 6,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.59 : 7,886.80 = 4,966.90 : x
  2. Step 2: Convert to fraction form
    5,719.59/7,886.80 = 4,966.90/x
  3. Step 3: Cross multiply
    5,719.59x = 7,886.80 × 4,966.90
  4. Step 4: Simplify right side
    5,719.59x = 39,172,914.79
  5. Step 5: Solve for x
    x = 39,172,914.79/5,719.59
  6. Step 6: Final answer
    x = 6,848.90

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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.