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Finding the Fourth Proportional to 3,698.16, 5,547.18 and 1,357.24

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Solution

The fourth proportional to 3,698.16, 5,547.18 and 1,357.24 is: 2,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.16 : 5,547.18 = 1,357.24 : x
  2. Step 2: Convert to fraction form
    3,698.16/5,547.18 = 1,357.24/x
  3. Step 3: Cross multiply
    3,698.16x = 5,547.18 × 1,357.24
  4. Step 4: Simplify right side
    3,698.16x = 7,528,876.29
  5. Step 5: Solve for x
    x = 7,528,876.29/3,698.16
  6. Step 6: Final answer
    x = 2,035.85

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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.