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Finding the Fourth Proportional to 4,363, 6,547.38 and 2,054.68

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Solution

The fourth proportional to 4,363, 6,547.38 and 2,054.68 is: 3,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363 : 6,547.38 = 2,054.68 : x
  2. Step 2: Convert to fraction form
    4,363/6,547.38 = 2,054.68/x
  3. Step 3: Cross multiply
    4,363x = 6,547.38 × 2,054.68
  4. Step 4: Simplify right side
    4,363x = 13,452,770.74
  5. Step 5: Solve for x
    x = 13,452,770.74/4,363
  6. Step 6: Final answer
    x = 3,083.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.