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Finding the Fourth Proportional to 7,058.50, 10,585.05 and 2,377.25

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Solution

The fourth proportional to 7,058.50, 10,585.05 and 2,377.25 is: 3,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.50 : 10,585.05 = 2,377.25 : x
  2. Step 2: Convert to fraction form
    7,058.50/10,585.05 = 2,377.25/x
  3. Step 3: Cross multiply
    7,058.50x = 10,585.05 × 2,377.25
  4. Step 4: Simplify right side
    7,058.50x = 25,163,332.26
  5. Step 5: Solve for x
    x = 25,163,332.26/7,058.50
  6. Step 6: Final answer
    x = 3,564.97

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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.