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Finding the Fourth Proportional to 5,762, 8,595.10 and 5,666.87

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Solution

The fourth proportional to 5,762, 8,595.10 and 5,666.87 is: 8,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762 : 8,595.10 = 5,666.87 : x
  2. Step 2: Convert to fraction form
    5,762/8,595.10 = 5,666.87/x
  3. Step 3: Cross multiply
    5,762x = 8,595.10 × 5,666.87
  4. Step 4: Simplify right side
    5,762x = 48,707,314.34
  5. Step 5: Solve for x
    x = 48,707,314.34/5,762
  6. Step 6: Final answer
    x = 8,453.20

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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.