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Finding the Fourth Proportional to 2,957.92, 4,429.29 and 2,870.33

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Solution

The fourth proportional to 2,957.92, 4,429.29 and 2,870.33 is: 4,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.92 : 4,429.29 = 2,870.33 : x
  2. Step 2: Convert to fraction form
    2,957.92/4,429.29 = 2,870.33/x
  3. Step 3: Cross multiply
    2,957.92x = 4,429.29 × 2,870.33
  4. Step 4: Simplify right side
    2,957.92x = 12,713,507.36
  5. Step 5: Solve for x
    x = 12,713,507.36/2,957.92
  6. Step 6: Final answer
    x = 4,298.13

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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.