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Finding the Fourth Proportional to 4,966.58, 6,854.50 and 2,870.71

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Solution

The fourth proportional to 4,966.58, 6,854.50 and 2,870.71 is: 3,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.58 : 6,854.50 = 2,870.71 : x
  2. Step 2: Convert to fraction form
    4,966.58/6,854.50 = 2,870.71/x
  3. Step 3: Cross multiply
    4,966.58x = 6,854.50 × 2,870.71
  4. Step 4: Simplify right side
    4,966.58x = 19,677,268.15
  5. Step 5: Solve for x
    x = 19,677,268.15/4,966.58
  6. Step 6: Final answer
    x = 3,961.93

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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.