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Finding the Fourth Proportional to 5,038.20, 7,555.28 and 1,917.14

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Solution

The fourth proportional to 5,038.20, 7,555.28 and 1,917.14 is: 2,874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.20 : 7,555.28 = 1,917.14 : x
  2. Step 2: Convert to fraction form
    5,038.20/7,555.28 = 1,917.14/x
  3. Step 3: Cross multiply
    5,038.20x = 7,555.28 × 1,917.14
  4. Step 4: Simplify right side
    5,038.20x = 14,484,482.14
  5. Step 5: Solve for x
    x = 14,484,482.14/5,038.20
  6. Step 6: Final answer
    x = 2,874.93

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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.