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Finding the Fourth Proportional to 5,582.31, 7,703.55 and 3,064.32

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Solution

The fourth proportional to 5,582.31, 7,703.55 and 3,064.32 is: 4,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.31 : 7,703.55 = 3,064.32 : x
  2. Step 2: Convert to fraction form
    5,582.31/7,703.55 = 3,064.32/x
  3. Step 3: Cross multiply
    5,582.31x = 7,703.55 × 3,064.32
  4. Step 4: Simplify right side
    5,582.31x = 23,606,142.34
  5. Step 5: Solve for x
    x = 23,606,142.34/5,582.31
  6. Step 6: Final answer
    x = 4,228.74

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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.