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Finding the Fourth Proportional to 5,404.77, 7,462.02 and 4,412.40

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Solution

The fourth proportional to 5,404.77, 7,462.02 and 4,412.40 is: 6,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.77 : 7,462.02 = 4,412.40 : x
  2. Step 2: Convert to fraction form
    5,404.77/7,462.02 = 4,412.40/x
  3. Step 3: Cross multiply
    5,404.77x = 7,462.02 × 4,412.40
  4. Step 4: Simplify right side
    5,404.77x = 32,925,417.05
  5. Step 5: Solve for x
    x = 32,925,417.05/5,404.77
  6. Step 6: Final answer
    x = 6,091.92

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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.