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Finding the Fourth Proportional to 3,547.26, 5,322.69 and 1,468.80

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Solution

The fourth proportional to 3,547.26, 5,322.69 and 1,468.80 is: 2,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.26 : 5,322.69 = 1,468.80 : x
  2. Step 2: Convert to fraction form
    3,547.26/5,322.69 = 1,468.80/x
  3. Step 3: Cross multiply
    3,547.26x = 5,322.69 × 1,468.80
  4. Step 4: Simplify right side
    3,547.26x = 7,817,967.07
  5. Step 5: Solve for x
    x = 7,817,967.07/3,547.26
  6. Step 6: Final answer
    x = 2,203.95

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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.