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Finding the Fourth Proportional to 5,341.62, 8,013.57 and 1,830.69

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Solution

The fourth proportional to 5,341.62, 8,013.57 and 1,830.69 is: 2,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.62 : 8,013.57 = 1,830.69 : x
  2. Step 2: Convert to fraction form
    5,341.62/8,013.57 = 1,830.69/x
  3. Step 3: Cross multiply
    5,341.62x = 8,013.57 × 1,830.69
  4. Step 4: Simplify right side
    5,341.62x = 14,670,322.40
  5. Step 5: Solve for x
    x = 14,670,322.40/5,341.62
  6. Step 6: Final answer
    x = 2,746.42

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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.