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Finding the Fourth Proportional to 3,497.40, 5,245.47 and 1,031.63

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Solution

The fourth proportional to 3,497.40, 5,245.47 and 1,031.63 is: 1,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.40 : 5,245.47 = 1,031.63 : x
  2. Step 2: Convert to fraction form
    3,497.40/5,245.47 = 1,031.63/x
  3. Step 3: Cross multiply
    3,497.40x = 5,245.47 × 1,031.63
  4. Step 4: Simplify right side
    3,497.40x = 5,411,357.99
  5. Step 5: Solve for x
    x = 5,411,357.99/3,497.40
  6. Step 6: Final answer
    x = 1,547.25

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1.5x scale

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.