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Finding the Fourth Proportional to 5,776.02, 8,594.87 and 5,756.58

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Solution

The fourth proportional to 5,776.02, 8,594.87 and 5,756.58 is: 8,565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.02 : 8,594.87 = 5,756.58 : x
  2. Step 2: Convert to fraction form
    5,776.02/8,594.87 = 5,756.58/x
  3. Step 3: Cross multiply
    5,776.02x = 8,594.87 × 5,756.58
  4. Step 4: Simplify right side
    5,776.02x = 49,477,027.96
  5. Step 5: Solve for x
    x = 49,477,027.96/5,776.02
  6. Step 6: Final answer
    x = 8,565.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.