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Finding the Fourth Proportional to 3,407.02, 5,110.53 and 1,066.93

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Solution

The fourth proportional to 3,407.02, 5,110.53 and 1,066.93 is: 1,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.02 : 5,110.53 = 1,066.93 : x
  2. Step 2: Convert to fraction form
    3,407.02/5,110.53 = 1,066.93/x
  3. Step 3: Cross multiply
    3,407.02x = 5,110.53 × 1,066.93
  4. Step 4: Simplify right side
    3,407.02x = 5,452,577.77
  5. Step 5: Solve for x
    x = 5,452,577.77/3,407.02
  6. Step 6: Final answer
    x = 1,600.40

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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.