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Finding the Fourth Proportional to 5,641.48, 7,784.82 and 3,157

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Solution

The fourth proportional to 5,641.48, 7,784.82 and 3,157 is: 4,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.48 : 7,784.82 = 3,157 : x
  2. Step 2: Convert to fraction form
    5,641.48/7,784.82 = 3,157/x
  3. Step 3: Cross multiply
    5,641.48x = 7,784.82 × 3,157
  4. Step 4: Simplify right side
    5,641.48x = 24,576,676.74
  5. Step 5: Solve for x
    x = 24,576,676.74/5,641.48
  6. Step 6: Final answer
    x = 4,356.42

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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.