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Finding the Fourth Proportional to 5,062.84, 7,594 and 1,776.67

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Solution

The fourth proportional to 5,062.84, 7,594 and 1,776.67 is: 2,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.84 : 7,594 = 1,776.67 : x
  2. Step 2: Convert to fraction form
    5,062.84/7,594 = 1,776.67/x
  3. Step 3: Cross multiply
    5,062.84x = 7,594 × 1,776.67
  4. Step 4: Simplify right side
    5,062.84x = 13,492,031.98
  5. Step 5: Solve for x
    x = 13,492,031.98/5,062.84
  6. Step 6: Final answer
    x = 2,664.91

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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.