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Finding the Fourth Proportional to 4,603.60, 6,904.08 and 2,262.16

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Solution

The fourth proportional to 4,603.60, 6,904.08 and 2,262.16 is: 3,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.60 : 6,904.08 = 2,262.16 : x
  2. Step 2: Convert to fraction form
    4,603.60/6,904.08 = 2,262.16/x
  3. Step 3: Cross multiply
    4,603.60x = 6,904.08 × 2,262.16
  4. Step 4: Simplify right side
    4,603.60x = 15,618,133.61
  5. Step 5: Solve for x
    x = 15,618,133.61/4,603.60
  6. Step 6: Final answer
    x = 3,392.59

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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.