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Finding the Fourth Proportional to 5,651, 8,460.10 and 5,058.20

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Solution

The fourth proportional to 5,651, 8,460.10 and 5,058.20 is: 7,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651 : 8,460.10 = 5,058.20 : x
  2. Step 2: Convert to fraction form
    5,651/8,460.10 = 5,058.20/x
  3. Step 3: Cross multiply
    5,651x = 8,460.10 × 5,058.20
  4. Step 4: Simplify right side
    5,651x = 42,792,877.82
  5. Step 5: Solve for x
    x = 42,792,877.82/5,651
  6. Step 6: Final answer
    x = 7,572.62

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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.