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Finding the Fourth Proportional to 4,537, 6,835.80 and 4,098.76

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Solution

The fourth proportional to 4,537, 6,835.80 and 4,098.76 is: 6,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537 : 6,835.80 = 4,098.76 : x
  2. Step 2: Convert to fraction form
    4,537/6,835.80 = 4,098.76/x
  3. Step 3: Cross multiply
    4,537x = 6,835.80 × 4,098.76
  4. Step 4: Simplify right side
    4,537x = 28,018,303.61
  5. Step 5: Solve for x
    x = 28,018,303.61/4,537
  6. Step 6: Final answer
    x = 6,175.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.