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Finding the Fourth Proportional to 3,547.93, 5,322.40 and 1,208.60

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Solution

The fourth proportional to 3,547.93, 5,322.40 and 1,208.60 is: 1,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.93 : 5,322.40 = 1,208.60 : x
  2. Step 2: Convert to fraction form
    3,547.93/5,322.40 = 1,208.60/x
  3. Step 3: Cross multiply
    3,547.93x = 5,322.40 × 1,208.60
  4. Step 4: Simplify right side
    3,547.93x = 6,432,652.64
  5. Step 5: Solve for x
    x = 6,432,652.64/3,547.93
  6. Step 6: Final answer
    x = 1,813.07

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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.