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Finding the Fourth Proportional to 5,735.48, 7,918.76 and 4,406.81

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Solution

The fourth proportional to 5,735.48, 7,918.76 and 4,406.81 is: 6,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.48 : 7,918.76 = 4,406.81 : x
  2. Step 2: Convert to fraction form
    5,735.48/7,918.76 = 4,406.81/x
  3. Step 3: Cross multiply
    5,735.48x = 7,918.76 × 4,406.81
  4. Step 4: Simplify right side
    5,735.48x = 34,896,442.18
  5. Step 5: Solve for x
    x = 34,896,442.18/5,735.48
  6. Step 6: Final answer
    x = 6,084.32

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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.