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Finding the Fourth Proportional to 4,367.42, 6,501.74 and 4,341.47

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Solution

The fourth proportional to 4,367.42, 6,501.74 and 4,341.47 is: 6,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.42 : 6,501.74 = 4,341.47 : x
  2. Step 2: Convert to fraction form
    4,367.42/6,501.74 = 4,341.47/x
  3. Step 3: Cross multiply
    4,367.42x = 6,501.74 × 4,341.47
  4. Step 4: Simplify right side
    4,367.42x = 28,227,109.16
  5. Step 5: Solve for x
    x = 28,227,109.16/4,367.42
  6. Step 6: Final answer
    x = 6,463.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.