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Finding the Fourth Proportional to 5,582.61, 7,703.73 and 3,345.75

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Solution

The fourth proportional to 5,582.61, 7,703.73 and 3,345.75 is: 4,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.61 : 7,703.73 = 3,345.75 : x
  2. Step 2: Convert to fraction form
    5,582.61/7,703.73 = 3,345.75/x
  3. Step 3: Cross multiply
    5,582.61x = 7,703.73 × 3,345.75
  4. Step 4: Simplify right side
    5,582.61x = 25,774,754.65
  5. Step 5: Solve for x
    x = 25,774,754.65/5,582.61
  6. Step 6: Final answer
    x = 4,616.97

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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.