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Finding the Fourth Proportional to 4,597.59, 6,897.36 and 1,477.83

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Solution

The fourth proportional to 4,597.59, 6,897.36 and 1,477.83 is: 2,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.59 : 6,897.36 = 1,477.83 : x
  2. Step 2: Convert to fraction form
    4,597.59/6,897.36 = 1,477.83/x
  3. Step 3: Cross multiply
    4,597.59x = 6,897.36 × 1,477.83
  4. Step 4: Simplify right side
    4,597.59x = 10,193,125.53
  5. Step 5: Solve for x
    x = 10,193,125.53/4,597.59
  6. Step 6: Final answer
    x = 2,217.06

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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.