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Finding the Fourth Proportional to 5,457.61, 7,523.54 and 4,339

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Solution

The fourth proportional to 5,457.61, 7,523.54 and 4,339 is: 5,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.61 : 7,523.54 = 4,339 : x
  2. Step 2: Convert to fraction form
    5,457.61/7,523.54 = 4,339/x
  3. Step 3: Cross multiply
    5,457.61x = 7,523.54 × 4,339
  4. Step 4: Simplify right side
    5,457.61x = 32,644,640.06
  5. Step 5: Solve for x
    x = 32,644,640.06/5,457.61
  6. Step 6: Final answer
    x = 5,981.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.