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Finding the Fourth Proportional to 3,458, 4,772.04 and 1,886.10

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Solution

The fourth proportional to 3,458, 4,772.04 and 1,886.10 is: 2,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458 : 4,772.04 = 1,886.10 : x
  2. Step 2: Convert to fraction form
    3,458/4,772.04 = 1,886.10/x
  3. Step 3: Cross multiply
    3,458x = 4,772.04 × 1,886.10
  4. Step 4: Simplify right side
    3,458x = 9,000,544.64
  5. Step 5: Solve for x
    x = 9,000,544.64/3,458
  6. Step 6: Final answer
    x = 2,602.82

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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.