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Finding the Fourth Proportional to 3,497.84, 5,248.59 and 2,264.93

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Solution

The fourth proportional to 3,497.84, 5,248.59 and 2,264.93 is: 3,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.84 : 5,248.59 = 2,264.93 : x
  2. Step 2: Convert to fraction form
    3,497.84/5,248.59 = 2,264.93/x
  3. Step 3: Cross multiply
    3,497.84x = 5,248.59 × 2,264.93
  4. Step 4: Simplify right side
    3,497.84x = 11,887,688.95
  5. Step 5: Solve for x
    x = 11,887,688.95/3,497.84
  6. Step 6: Final answer
    x = 3,398.58

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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.