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Finding the Fourth Proportional to 5,698.27, 8,547.95 and 1,802.71

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Solution

The fourth proportional to 5,698.27, 8,547.95 and 1,802.71 is: 2,704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.27 : 8,547.95 = 1,802.71 : x
  2. Step 2: Convert to fraction form
    5,698.27/8,547.95 = 1,802.71/x
  3. Step 3: Cross multiply
    5,698.27x = 8,547.95 × 1,802.71
  4. Step 4: Simplify right side
    5,698.27x = 15,409,474.94
  5. Step 5: Solve for x
    x = 15,409,474.94/5,698.27
  6. Step 6: Final answer
    x = 2,704.24

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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.