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Finding the Fourth Proportional to 3,547.60, 5,317.25 and 1,465.02

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Solution

The fourth proportional to 3,547.60, 5,317.25 and 1,465.02 is: 2,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.60 : 5,317.25 = 1,465.02 : x
  2. Step 2: Convert to fraction form
    3,547.60/5,317.25 = 1,465.02/x
  3. Step 3: Cross multiply
    3,547.60x = 5,317.25 × 1,465.02
  4. Step 4: Simplify right side
    3,547.60x = 7,789,870.27
  5. Step 5: Solve for x
    x = 7,789,870.27/3,547.60
  6. Step 6: Final answer
    x = 2,195.82

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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.