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Finding the Fourth Proportional to 5,210.96, 7,813.61 and 1,878.76

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Solution

The fourth proportional to 5,210.96, 7,813.61 and 1,878.76 is: 2,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.96 : 7,813.61 = 1,878.76 : x
  2. Step 2: Convert to fraction form
    5,210.96/7,813.61 = 1,878.76/x
  3. Step 3: Cross multiply
    5,210.96x = 7,813.61 × 1,878.76
  4. Step 4: Simplify right side
    5,210.96x = 14,679,849.46
  5. Step 5: Solve for x
    x = 14,679,849.46/5,210.96
  6. Step 6: Final answer
    x = 2,817.11

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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.