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Finding the Fourth Proportional to 4,894.86, 7,343.49 and 2,294.76

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Solution

The fourth proportional to 4,894.86, 7,343.49 and 2,294.76 is: 3,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.86 : 7,343.49 = 2,294.76 : x
  2. Step 2: Convert to fraction form
    4,894.86/7,343.49 = 2,294.76/x
  3. Step 3: Cross multiply
    4,894.86x = 7,343.49 × 2,294.76
  4. Step 4: Simplify right side
    4,894.86x = 16,851,547.11
  5. Step 5: Solve for x
    x = 16,851,547.11/4,894.86
  6. Step 6: Final answer
    x = 3,442.70

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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.