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Finding the Fourth Proportional to 5,341.95, 8,013.21 and 1,646.72

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Solution

The fourth proportional to 5,341.95, 8,013.21 and 1,646.72 is: 2,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.95 : 8,013.21 = 1,646.72 : x
  2. Step 2: Convert to fraction form
    5,341.95/8,013.21 = 1,646.72/x
  3. Step 3: Cross multiply
    5,341.95x = 8,013.21 × 1,646.72
  4. Step 4: Simplify right side
    5,341.95x = 13,195,513.17
  5. Step 5: Solve for x
    x = 13,195,513.17/5,341.95
  6. Step 6: Final answer
    x = 2,470.17

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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.