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Finding the Fourth Proportional to 4,547.51, 6,823.31 and 2,049.31

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Solution

The fourth proportional to 4,547.51, 6,823.31 and 2,049.31 is: 3,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.51 : 6,823.31 = 2,049.31 : x
  2. Step 2: Convert to fraction form
    4,547.51/6,823.31 = 2,049.31/x
  3. Step 3: Cross multiply
    4,547.51x = 6,823.31 × 2,049.31
  4. Step 4: Simplify right side
    4,547.51x = 13,983,075.70
  5. Step 5: Solve for x
    x = 13,983,075.70/4,547.51
  6. Step 6: Final answer
    x = 3,074.89

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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.