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Finding the Fourth Proportional to 5,201.70, 7,802.55 and 4,877.70

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Solution

The fourth proportional to 5,201.70, 7,802.55 and 4,877.70 is: 7,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.70 : 7,802.55 = 4,877.70 : x
  2. Step 2: Convert to fraction form
    5,201.70/7,802.55 = 4,877.70/x
  3. Step 3: Cross multiply
    5,201.70x = 7,802.55 × 4,877.70
  4. Step 4: Simplify right side
    5,201.70x = 38,058,498.14
  5. Step 5: Solve for x
    x = 38,058,498.14/5,201.70
  6. Step 6: Final answer
    x = 7,316.55

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1.5x scale

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.