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Finding the Fourth Proportional to 4,345.92, 6,514.80 and 1,571.88

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Solution

The fourth proportional to 4,345.92, 6,514.80 and 1,571.88 is: 2,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,345.92 : 6,514.80 = 1,571.88 : x
  2. Step 2: Convert to fraction form
    4,345.92/6,514.80 = 1,571.88/x
  3. Step 3: Cross multiply
    4,345.92x = 6,514.80 × 1,571.88
  4. Step 4: Simplify right side
    4,345.92x = 10,240,483.82
  5. Step 5: Solve for x
    x = 10,240,483.82/4,345.92
  6. Step 6: Final answer
    x = 2,356.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.