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Finding the Fourth Proportional to 3,534.01, 5,301.10 and 1,068.82

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Solution

The fourth proportional to 3,534.01, 5,301.10 and 1,068.82 is: 1,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.01 : 5,301.10 = 1,068.82 : x
  2. Step 2: Convert to fraction form
    3,534.01/5,301.10 = 1,068.82/x
  3. Step 3: Cross multiply
    3,534.01x = 5,301.10 × 1,068.82
  4. Step 4: Simplify right side
    3,534.01x = 5,665,916.36
  5. Step 5: Solve for x
    x = 5,665,916.36/3,534.01
  6. Step 6: Final answer
    x = 1,603.25

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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.