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Finding the Fourth Proportional to 3,497, 5,245.32 and 1,031.72

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Solution

The fourth proportional to 3,497, 5,245.32 and 1,031.72 is: 1,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497 : 5,245.32 = 1,031.72 : x
  2. Step 2: Convert to fraction form
    3,497/5,245.32 = 1,031.72/x
  3. Step 3: Cross multiply
    3,497x = 5,245.32 × 1,031.72
  4. Step 4: Simplify right side
    3,497x = 5,411,701.55
  5. Step 5: Solve for x
    x = 5,411,701.55/3,497
  6. Step 6: Final answer
    x = 1,547.53

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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.