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Finding the Fourth Proportional to 5,736.24, 8,588.10 and 4,675.77

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Solution

The fourth proportional to 5,736.24, 8,588.10 and 4,675.77 is: 7,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.24 : 8,588.10 = 4,675.77 : x
  2. Step 2: Convert to fraction form
    5,736.24/8,588.10 = 4,675.77/x
  3. Step 3: Cross multiply
    5,736.24x = 8,588.10 × 4,675.77
  4. Step 4: Simplify right side
    5,736.24x = 40,155,980.34
  5. Step 5: Solve for x
    x = 40,155,980.34/5,736.24
  6. Step 6: Final answer
    x = 7,000.40

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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.