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Finding the Fourth Proportional to 4,779.76, 7,111.82 and 4,660.72

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Solution

The fourth proportional to 4,779.76, 7,111.82 and 4,660.72 is: 6,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779.76 : 7,111.82 = 4,660.72 : x
  2. Step 2: Convert to fraction form
    4,779.76/7,111.82 = 4,660.72/x
  3. Step 3: Cross multiply
    4,779.76x = 7,111.82 × 4,660.72
  4. Step 4: Simplify right side
    4,779.76x = 33,146,201.71
  5. Step 5: Solve for x
    x = 33,146,201.71/4,779.76
  6. Step 6: Final answer
    x = 6,934.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.