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Finding the Fourth Proportional to 4,567.59, 6,292.49 and 3,765.69

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Solution

The fourth proportional to 4,567.59, 6,292.49 and 3,765.69 is: 5,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.59 : 6,292.49 = 3,765.69 : x
  2. Step 2: Convert to fraction form
    4,567.59/6,292.49 = 3,765.69/x
  3. Step 3: Cross multiply
    4,567.59x = 6,292.49 × 3,765.69
  4. Step 4: Simplify right side
    4,567.59x = 23,695,547.84
  5. Step 5: Solve for x
    x = 23,695,547.84/4,567.59
  6. Step 6: Final answer
    x = 5,187.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.