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Finding the Fourth Proportional to 6,597.84, 9,897.30 and 2,899.56

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Solution

The fourth proportional to 6,597.84, 9,897.30 and 2,899.56 is: 4,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.84 : 9,897.30 = 2,899.56 : x
  2. Step 2: Convert to fraction form
    6,597.84/9,897.30 = 2,899.56/x
  3. Step 3: Cross multiply
    6,597.84x = 9,897.30 × 2,899.56
  4. Step 4: Simplify right side
    6,597.84x = 28,697,815.19
  5. Step 5: Solve for x
    x = 28,697,815.19/6,597.84
  6. Step 6: Final answer
    x = 4,349.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.