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Finding the Fourth Proportional to 5,342.04, 7,364.60 and 4,603.86

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Solution

The fourth proportional to 5,342.04, 7,364.60 and 4,603.86 is: 6,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.04 : 7,364.60 = 4,603.86 : x
  2. Step 2: Convert to fraction form
    5,342.04/7,364.60 = 4,603.86/x
  3. Step 3: Cross multiply
    5,342.04x = 7,364.60 × 4,603.86
  4. Step 4: Simplify right side
    5,342.04x = 33,905,587.36
  5. Step 5: Solve for x
    x = 33,905,587.36/5,342.04
  6. Step 6: Final answer
    x = 6,346.94

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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.