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Finding the Fourth Proportional to 4,536.65, 6,259.77 and 2,547.29

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Solution

The fourth proportional to 4,536.65, 6,259.77 and 2,547.29 is: 3,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.65 : 6,259.77 = 2,547.29 : x
  2. Step 2: Convert to fraction form
    4,536.65/6,259.77 = 2,547.29/x
  3. Step 3: Cross multiply
    4,536.65x = 6,259.77 × 2,547.29
  4. Step 4: Simplify right side
    4,536.65x = 15,945,418.22
  5. Step 5: Solve for x
    x = 15,945,418.22/4,536.65
  6. Step 6: Final answer
    x = 3,514.80

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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.