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Finding the Fourth Proportional to 5,618.17, 8,428 and 1,919.40

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Solution

The fourth proportional to 5,618.17, 8,428 and 1,919.40 is: 2,879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.17 : 8,428 = 1,919.40 : x
  2. Step 2: Convert to fraction form
    5,618.17/8,428 = 1,919.40/x
  3. Step 3: Cross multiply
    5,618.17x = 8,428 × 1,919.40
  4. Step 4: Simplify right side
    5,618.17x = 16,176,703.20
  5. Step 5: Solve for x
    x = 16,176,703.20/5,618.17
  6. Step 6: Final answer
    x = 2,879.35

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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.