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Finding the Fourth Proportional to 4,088.56, 6,124.68 and 1,894.32

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Solution

The fourth proportional to 4,088.56, 6,124.68 and 1,894.32 is: 2,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088.56 : 6,124.68 = 1,894.32 : x
  2. Step 2: Convert to fraction form
    4,088.56/6,124.68 = 1,894.32/x
  3. Step 3: Cross multiply
    4,088.56x = 6,124.68 × 1,894.32
  4. Step 4: Simplify right side
    4,088.56x = 11,602,103.82
  5. Step 5: Solve for x
    x = 11,602,103.82/4,088.56
  6. Step 6: Final answer
    x = 2,837.70

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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.