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Finding the Fourth Proportional to 5,698.22, 8,547.74 and 1,748.96

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Solution

The fourth proportional to 5,698.22, 8,547.74 and 1,748.96 is: 2,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.22 : 8,547.74 = 1,748.96 : x
  2. Step 2: Convert to fraction form
    5,698.22/8,547.74 = 1,748.96/x
  3. Step 3: Cross multiply
    5,698.22x = 8,547.74 × 1,748.96
  4. Step 4: Simplify right side
    5,698.22x = 14,949,655.35
  5. Step 5: Solve for x
    x = 14,949,655.35/5,698.22
  6. Step 6: Final answer
    x = 2,623.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.