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Finding the Fourth Proportional to 5,697.64, 7,862.62 and 3,307.48

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Solution

The fourth proportional to 5,697.64, 7,862.62 and 3,307.48 is: 4,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.64 : 7,862.62 = 3,307.48 : x
  2. Step 2: Convert to fraction form
    5,697.64/7,862.62 = 3,307.48/x
  3. Step 3: Cross multiply
    5,697.64x = 7,862.62 × 3,307.48
  4. Step 4: Simplify right side
    5,697.64x = 26,005,480.90
  5. Step 5: Solve for x
    x = 26,005,480.90/5,697.64
  6. Step 6: Final answer
    x = 4,564.25

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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.