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Finding the Fourth Proportional to 3,457.12, 5,182 and 2,358.76

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Solution

The fourth proportional to 3,457.12, 5,182 and 2,358.76 is: 3,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.12 : 5,182 = 2,358.76 : x
  2. Step 2: Convert to fraction form
    3,457.12/5,182 = 2,358.76/x
  3. Step 3: Cross multiply
    3,457.12x = 5,182 × 2,358.76
  4. Step 4: Simplify right side
    3,457.12x = 12,223,094.32
  5. Step 5: Solve for x
    x = 12,223,094.32/3,457.12
  6. Step 6: Final answer
    x = 3,535.63

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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.