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Finding the Fourth Proportional to 5,698.28, 8,547.96 and 3,502.28

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Solution

The fourth proportional to 5,698.28, 8,547.96 and 3,502.28 is: 5,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.28 : 8,547.96 = 3,502.28 : x
  2. Step 2: Convert to fraction form
    5,698.28/8,547.96 = 3,502.28/x
  3. Step 3: Cross multiply
    5,698.28x = 8,547.96 × 3,502.28
  4. Step 4: Simplify right side
    5,698.28x = 29,937,349.35
  5. Step 5: Solve for x
    x = 29,937,349.35/5,698.28
  6. Step 6: Final answer
    x = 5,253.75

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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.