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Finding the Fourth Proportional to 4,322.65, 6,483.26 and 1,548.91

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Solution

The fourth proportional to 4,322.65, 6,483.26 and 1,548.91 is: 2,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.65 : 6,483.26 = 1,548.91 : x
  2. Step 2: Convert to fraction form
    4,322.65/6,483.26 = 1,548.91/x
  3. Step 3: Cross multiply
    4,322.65x = 6,483.26 × 1,548.91
  4. Step 4: Simplify right side
    4,322.65x = 10,041,973.91
  5. Step 5: Solve for x
    x = 10,041,973.91/4,322.65
  6. Step 6: Final answer
    x = 2,323.11

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Why These Related Problems?

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