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Finding the Fourth Proportional to 5,582.30, 7,703.42 and 3,064.39

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Solution

The fourth proportional to 5,582.30, 7,703.42 and 3,064.39 is: 4,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.30 : 7,703.42 = 3,064.39 : x
  2. Step 2: Convert to fraction form
    5,582.30/7,703.42 = 3,064.39/x
  3. Step 3: Cross multiply
    5,582.30x = 7,703.42 × 3,064.39
  4. Step 4: Simplify right side
    5,582.30x = 23,606,248.63
  5. Step 5: Solve for x
    x = 23,606,248.63/5,582.30
  6. Step 6: Final answer
    x = 4,228.77

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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.