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Finding the Fourth Proportional to 5,265.58, 7,267.64 and 3,590.98

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Solution

The fourth proportional to 5,265.58, 7,267.64 and 3,590.98 is: 4,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.58 : 7,267.64 = 3,590.98 : x
  2. Step 2: Convert to fraction form
    5,265.58/7,267.64 = 3,590.98/x
  3. Step 3: Cross multiply
    5,265.58x = 7,267.64 × 3,590.98
  4. Step 4: Simplify right side
    5,265.58x = 26,097,913.76
  5. Step 5: Solve for x
    x = 26,097,913.76/5,265.58
  6. Step 6: Final answer
    x = 4,956.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.