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Finding the Fourth Proportional to 4,597.14, 6,897.08 and 1,929.98

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Solution

The fourth proportional to 4,597.14, 6,897.08 and 1,929.98 is: 2,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.14 : 6,897.08 = 1,929.98 : x
  2. Step 2: Convert to fraction form
    4,597.14/6,897.08 = 1,929.98/x
  3. Step 3: Cross multiply
    4,597.14x = 6,897.08 × 1,929.98
  4. Step 4: Simplify right side
    4,597.14x = 13,311,260.22
  5. Step 5: Solve for x
    x = 13,311,260.22/4,597.14
  6. Step 6: Final answer
    x = 2,895.55

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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.