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Finding the Fourth Proportional to 5,671.37, 7,829.37 and 3,548.16

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Solution

The fourth proportional to 5,671.37, 7,829.37 and 3,548.16 is: 4,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.37 : 7,829.37 = 3,548.16 : x
  2. Step 2: Convert to fraction form
    5,671.37/7,829.37 = 3,548.16/x
  3. Step 3: Cross multiply
    5,671.37x = 7,829.37 × 3,548.16
  4. Step 4: Simplify right side
    5,671.37x = 27,779,857.46
  5. Step 5: Solve for x
    x = 27,779,857.46/5,671.37
  6. Step 6: Final answer
    x = 4,898.26

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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.