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Finding the Fourth Proportional to 5,884.41, 8,826.54 and 1,501.82

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Solution

The fourth proportional to 5,884.41, 8,826.54 and 1,501.82 is: 2,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.41 : 8,826.54 = 1,501.82 : x
  2. Step 2: Convert to fraction form
    5,884.41/8,826.54 = 1,501.82/x
  3. Step 3: Cross multiply
    5,884.41x = 8,826.54 × 1,501.82
  4. Step 4: Simplify right side
    5,884.41x = 13,255,830.17
  5. Step 5: Solve for x
    x = 13,255,830.17/5,884.41
  6. Step 6: Final answer
    x = 2,252.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.