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Finding the Fourth Proportional to 5,687.36, 7,848.60 and 3,564.08

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Solution

The fourth proportional to 5,687.36, 7,848.60 and 3,564.08 is: 4,918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.36 : 7,848.60 = 3,564.08 : x
  2. Step 2: Convert to fraction form
    5,687.36/7,848.60 = 3,564.08/x
  3. Step 3: Cross multiply
    5,687.36x = 7,848.60 × 3,564.08
  4. Step 4: Simplify right side
    5,687.36x = 27,973,038.29
  5. Step 5: Solve for x
    x = 27,973,038.29/5,687.36
  6. Step 6: Final answer
    x = 4,918.46

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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.