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Finding the Fourth Proportional to 5,058.06, 7,549.64 and 4,746.42

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Solution

The fourth proportional to 5,058.06, 7,549.64 and 4,746.42 is: 7,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.06 : 7,549.64 = 4,746.42 : x
  2. Step 2: Convert to fraction form
    5,058.06/7,549.64 = 4,746.42/x
  3. Step 3: Cross multiply
    5,058.06x = 7,549.64 × 4,746.42
  4. Step 4: Simplify right side
    5,058.06x = 35,833,738.56
  5. Step 5: Solve for x
    x = 35,833,738.56/5,058.06
  6. Step 6: Final answer
    x = 7,084.48

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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.