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Finding the Fourth Proportional to 5,352.48, 7,384.77 and 3,585.87

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Solution

The fourth proportional to 5,352.48, 7,384.77 and 3,585.87 is: 4,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.48 : 7,384.77 = 3,585.87 : x
  2. Step 2: Convert to fraction form
    5,352.48/7,384.77 = 3,585.87/x
  3. Step 3: Cross multiply
    5,352.48x = 7,384.77 × 3,585.87
  4. Step 4: Simplify right side
    5,352.48x = 26,480,825.20
  5. Step 5: Solve for x
    x = 26,480,825.20/5,352.48
  6. Step 6: Final answer
    x = 4,947.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.