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Finding the Fourth Proportional to 5,100.68, 7,653.74 and 5,085.16

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Solution

The fourth proportional to 5,100.68, 7,653.74 and 5,085.16 is: 7,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.68 : 7,653.74 = 5,085.16 : x
  2. Step 2: Convert to fraction form
    5,100.68/7,653.74 = 5,085.16/x
  3. Step 3: Cross multiply
    5,100.68x = 7,653.74 × 5,085.16
  4. Step 4: Simplify right side
    5,100.68x = 38,920,492.50
  5. Step 5: Solve for x
    x = 38,920,492.50/5,100.68
  6. Step 6: Final answer
    x = 7,630.45

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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.