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Finding the Fourth Proportional to 7,058.00, 9,740.01 and 3,914.19

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Solution

The fourth proportional to 7,058.00, 9,740.01 and 3,914.19 is: 5,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.00 : 9,740.01 = 3,914.19 : x
  2. Step 2: Convert to fraction form
    7,058.00/9,740.01 = 3,914.19/x
  3. Step 3: Cross multiply
    7,058.00x = 9,740.01 × 3,914.19
  4. Step 4: Simplify right side
    7,058.00x = 38,124,264.42
  5. Step 5: Solve for x
    x = 38,124,264.42/7,058.00
  6. Step 6: Final answer
    x = 5,401.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.