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Finding the Fourth Proportional to 5,582.77, 7,702.65 and 3,594.48

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Solution

The fourth proportional to 5,582.77, 7,702.65 and 3,594.48 is: 4,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.77 : 7,702.65 = 3,594.48 : x
  2. Step 2: Convert to fraction form
    5,582.77/7,702.65 = 3,594.48/x
  3. Step 3: Cross multiply
    5,582.77x = 7,702.65 × 3,594.48
  4. Step 4: Simplify right side
    5,582.77x = 27,687,021.37
  5. Step 5: Solve for x
    x = 27,687,021.37/5,582.77
  6. Step 6: Final answer
    x = 4,959.37

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1.5x scale

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.