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Finding the Fourth Proportional to 3,643.80, 5,465.70 and 1,698.18

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Solution

The fourth proportional to 3,643.80, 5,465.70 and 1,698.18 is: 2,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.80 : 5,465.70 = 1,698.18 : x
  2. Step 2: Convert to fraction form
    3,643.80/5,465.70 = 1,698.18/x
  3. Step 3: Cross multiply
    3,643.80x = 5,465.70 × 1,698.18
  4. Step 4: Simplify right side
    3,643.80x = 9,281,742.43
  5. Step 5: Solve for x
    x = 9,281,742.43/3,643.80
  6. Step 6: Final answer
    x = 2,547.27

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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.