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Finding the Fourth Proportional to 5,654.65, 7,807.28 and 3,533.41

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Solution

The fourth proportional to 5,654.65, 7,807.28 and 3,533.41 is: 4,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.65 : 7,807.28 = 3,533.41 : x
  2. Step 2: Convert to fraction form
    5,654.65/7,807.28 = 3,533.41/x
  3. Step 3: Cross multiply
    5,654.65x = 7,807.28 × 3,533.41
  4. Step 4: Simplify right side
    5,654.65x = 27,586,321.22
  5. Step 5: Solve for x
    x = 27,586,321.22/5,654.65
  6. Step 6: Final answer
    x = 4,878.52

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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.