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Finding the Fourth Proportional to 5,700.35, 8,547.69 and 1,750.66

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Solution

The fourth proportional to 5,700.35, 8,547.69 and 1,750.66 is: 2,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.35 : 8,547.69 = 1,750.66 : x
  2. Step 2: Convert to fraction form
    5,700.35/8,547.69 = 1,750.66/x
  3. Step 3: Cross multiply
    5,700.35x = 8,547.69 × 1,750.66
  4. Step 4: Simplify right side
    5,700.35x = 14,964,098.98
  5. Step 5: Solve for x
    x = 14,964,098.98/5,700.35
  6. Step 6: Final answer
    x = 2,625.12

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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.