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Finding the Fourth Proportional to 5,728.39, 7,905.13 and 5,258.19

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Solution

The fourth proportional to 5,728.39, 7,905.13 and 5,258.19 is: 7,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.39 : 7,905.13 = 5,258.19 : x
  2. Step 2: Convert to fraction form
    5,728.39/7,905.13 = 5,258.19/x
  3. Step 3: Cross multiply
    5,728.39x = 7,905.13 × 5,258.19
  4. Step 4: Simplify right side
    5,728.39x = 41,566,675.51
  5. Step 5: Solve for x
    x = 41,566,675.51/5,728.39
  6. Step 6: Final answer
    x = 7,256.26

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1.5x scale

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.