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Finding the Fourth Proportional to 4,285.64, 5,904.72 and 3,574.92

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Solution

The fourth proportional to 4,285.64, 5,904.72 and 3,574.92 is: 4,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.64 : 5,904.72 = 3,574.92 : x
  2. Step 2: Convert to fraction form
    4,285.64/5,904.72 = 3,574.92/x
  3. Step 3: Cross multiply
    4,285.64x = 5,904.72 × 3,574.92
  4. Step 4: Simplify right side
    4,285.64x = 21,108,901.62
  5. Step 5: Solve for x
    x = 21,108,901.62/4,285.64
  6. Step 6: Final answer
    x = 4,925.50

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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.