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Finding the Fourth Proportional to 3,083.57, 4,625.35 and 1,031.57

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Solution

The fourth proportional to 3,083.57, 4,625.35 and 1,031.57 is: 1,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.57 : 4,625.35 = 1,031.57 : x
  2. Step 2: Convert to fraction form
    3,083.57/4,625.35 = 1,031.57/x
  3. Step 3: Cross multiply
    3,083.57x = 4,625.35 × 1,031.57
  4. Step 4: Simplify right side
    3,083.57x = 4,771,344.01
  5. Step 5: Solve for x
    x = 4,771,344.01/3,083.57
  6. Step 6: Final answer
    x = 1,547.35

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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.