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Finding the Fourth Proportional to 4,316.63, 6,474.00 and 1,543.50

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Solution

The fourth proportional to 4,316.63, 6,474.00 and 1,543.50 is: 2,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.63 : 6,474.00 = 1,543.50 : x
  2. Step 2: Convert to fraction form
    4,316.63/6,474.00 = 1,543.50/x
  3. Step 3: Cross multiply
    4,316.63x = 6,474.00 × 1,543.50
  4. Step 4: Simplify right side
    4,316.63x = 9,992,590.49
  5. Step 5: Solve for x
    x = 9,992,590.49/4,316.63
  6. Step 6: Final answer
    x = 2,314.91

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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.