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Finding the Fourth Proportional to 5,498.66, 7,582.33 and 3,509.30

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Solution

The fourth proportional to 5,498.66, 7,582.33 and 3,509.30 is: 4,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.66 : 7,582.33 = 3,509.30 : x
  2. Step 2: Convert to fraction form
    5,498.66/7,582.33 = 3,509.30/x
  3. Step 3: Cross multiply
    5,498.66x = 7,582.33 × 3,509.30
  4. Step 4: Simplify right side
    5,498.66x = 26,608,670.67
  5. Step 5: Solve for x
    x = 26,608,670.67/5,498.66
  6. Step 6: Final answer
    x = 4,839.12

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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.