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Finding the Fourth Proportional to 3,564.54, 5,347.98 and 1,715.42

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Solution

The fourth proportional to 3,564.54, 5,347.98 and 1,715.42 is: 2,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.54 : 5,347.98 = 1,715.42 : x
  2. Step 2: Convert to fraction form
    3,564.54/5,347.98 = 1,715.42/x
  3. Step 3: Cross multiply
    3,564.54x = 5,347.98 × 1,715.42
  4. Step 4: Simplify right side
    3,564.54x = 9,174,045.22
  5. Step 5: Solve for x
    x = 9,174,045.22/3,564.54
  6. Step 6: Final answer
    x = 2,573.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.