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Finding the Fourth Proportional to 2,958.42, 4,430.04 and 2,870.83

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Solution

The fourth proportional to 2,958.42, 4,430.04 and 2,870.83 is: 4,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.42 : 4,430.04 = 2,870.83 : x
  2. Step 2: Convert to fraction form
    2,958.42/4,430.04 = 2,870.83/x
  3. Step 3: Cross multiply
    2,958.42x = 4,430.04 × 2,870.83
  4. Step 4: Simplify right side
    2,958.42x = 12,717,869.58
  5. Step 5: Solve for x
    x = 12,717,869.58/2,958.42
  6. Step 6: Final answer
    x = 4,298.87

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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.