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Finding the Fourth Proportional to 4,319.58, 6,475.50 and 2,097.21

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Solution

The fourth proportional to 4,319.58, 6,475.50 and 2,097.21 is: 3,143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319.58 : 6,475.50 = 2,097.21 : x
  2. Step 2: Convert to fraction form
    4,319.58/6,475.50 = 2,097.21/x
  3. Step 3: Cross multiply
    4,319.58x = 6,475.50 × 2,097.21
  4. Step 4: Simplify right side
    4,319.58x = 13,580,483.36
  5. Step 5: Solve for x
    x = 13,580,483.36/4,319.58
  6. Step 6: Final answer
    x = 3,143.94

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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.