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Finding the Fourth Proportional to 4,412.24, 6,570.38 and 4,363.76

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Solution

The fourth proportional to 4,412.24, 6,570.38 and 4,363.76 is: 6,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,412.24 : 6,570.38 = 4,363.76 : x
  2. Step 2: Convert to fraction form
    4,412.24/6,570.38 = 4,363.76/x
  3. Step 3: Cross multiply
    4,412.24x = 6,570.38 × 4,363.76
  4. Step 4: Simplify right side
    4,412.24x = 28,671,561.43
  5. Step 5: Solve for x
    x = 28,671,561.43/4,412.24
  6. Step 6: Final answer
    x = 6,498.19

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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.