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Finding the Fourth Proportional to 2,957.96, 4,429.25 and 2,870.31

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Solution

The fourth proportional to 2,957.96, 4,429.25 and 2,870.31 is: 4,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.96 : 4,429.25 = 2,870.31 : x
  2. Step 2: Convert to fraction form
    2,957.96/4,429.25 = 2,870.31/x
  3. Step 3: Cross multiply
    2,957.96x = 4,429.25 × 2,870.31
  4. Step 4: Simplify right side
    2,957.96x = 12,713,333.59
  5. Step 5: Solve for x
    x = 12,713,333.59/2,957.96
  6. Step 6: Final answer
    x = 4,298.00

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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.