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Finding the Fourth Proportional to 4,567.86, 6,811.68 and 4,526.28

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Solution

The fourth proportional to 4,567.86, 6,811.68 and 4,526.28 is: 6,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.86 : 6,811.68 = 4,526.28 : x
  2. Step 2: Convert to fraction form
    4,567.86/6,811.68 = 4,526.28/x
  3. Step 3: Cross multiply
    4,567.86x = 6,811.68 × 4,526.28
  4. Step 4: Simplify right side
    4,567.86x = 30,831,570.95
  5. Step 5: Solve for x
    x = 30,831,570.95/4,567.86
  6. Step 6: Final answer
    x = 6,749.68

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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.